subject:(Dirac equation)

Rutgers University

1. Kallupalam Balasubramanian, Moulik, 1988-. Scalar fields and spin-half fields on mildly singular spacetimes.

Degree: PhD, Mathematics, 2015, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/

►

A charged particle-spacetime is a solution to Einstein’s equations coupled to a nonlinear electromagnetic theory. It has a mild curvature singularity and a bounded electric… (more)

Subjects/Keywords: Scalar field theory; Dirac equation

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APA (6^th Edition):

Kallupalam Balasubramanian, Moulik, 1. (2015). Scalar fields and spin-half fields on mildly singular spacetimes. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/47452/

Chicago Manual of Style (16^th Edition):

Kallupalam Balasubramanian, Moulik, 1988-. “Scalar fields and spin-half fields on mildly singular spacetimes.” 2015. Doctoral Dissertation, Rutgers University. Accessed March 07, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/47452/.

MLA Handbook (7^th Edition):

Kallupalam Balasubramanian, Moulik, 1988-. “Scalar fields and spin-half fields on mildly singular spacetimes.” 2015. Web. 07 Mar 2021.

Vancouver:

Kallupalam Balasubramanian, Moulik 1. Scalar fields and spin-half fields on mildly singular spacetimes. [Internet] [Doctoral dissertation]. Rutgers University; 2015. [cited 2021 Mar 07]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/.

Council of Science Editors:

Kallupalam Balasubramanian, Moulik 1. Scalar fields and spin-half fields on mildly singular spacetimes. [Doctoral Dissertation]. Rutgers University; 2015. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/

2. Conley, Kevin J. A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems.

Degree: 2008, Wake Forest University

URL: http://hdl.handle.net/10339/33585

► The Projector Augmented Wave Method (PAW) [1] provides accurate numerical approximations to the exact eigenfunctions and eigenvalues of the Kohn-Sham equations for large-scale ab-initio electronic… (more)

Subjects/Keywords: Dirac equation

8 more images…

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APA (6^th Edition):

Conley, K. J. (2008). A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems. (Thesis). Wake Forest University. Retrieved from http://hdl.handle.net/10339/33585

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Conley, Kevin J. “A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems.” 2008. Thesis, Wake Forest University. Accessed March 07, 2021. http://hdl.handle.net/10339/33585.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Conley, Kevin J. “A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems.” 2008. Web. 07 Mar 2021.

Vancouver:

Conley KJ. A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems. [Internet] [Thesis]. Wake Forest University; 2008. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10339/33585.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Conley KJ. A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems. [Thesis]. Wake Forest University; 2008. Available from: http://hdl.handle.net/10339/33585

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University

3. Lan, Ruomeng. On the Spectral Stability of Solitary Waves.

Degree: PhD, Mathematics, 2019, Texas A&M University

URL: http://hdl.handle.net/1969.1/188758

► We study the spectral stability of the solitary wave solutions to the nonlinear Dirac equations. We focus on two types of nonlinearity: the Soler type… (more)

Subjects/Keywords: Spectral Stability; Solitary Waves; Nonlinear Dirac Equation

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APA (6^th Edition):

Lan, R. (2019). On the Spectral Stability of Solitary Waves. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/188758

Chicago Manual of Style (16^th Edition):

Lan, Ruomeng. “On the Spectral Stability of Solitary Waves.” 2019. Doctoral Dissertation, Texas A&M University. Accessed March 07, 2021. http://hdl.handle.net/1969.1/188758.

MLA Handbook (7^th Edition):

Lan, Ruomeng. “On the Spectral Stability of Solitary Waves.” 2019. Web. 07 Mar 2021.

Vancouver:

Lan R. On the Spectral Stability of Solitary Waves. [Internet] [Doctoral dissertation]. Texas A&M University; 2019. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/1969.1/188758.

Council of Science Editors:

Lan R. On the Spectral Stability of Solitary Waves. [Doctoral Dissertation]. Texas A&M University; 2019. Available from: http://hdl.handle.net/1969.1/188758

Hong Kong University of Science and Technology

4. Dong, Chao-Ping. Spin-lowest k-types and Dirac cohomology.

Degree: 2011, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html

► This thesis studies the problem that for an irreducible unitary representation, what kind of its K-types contributes to the Dirac cohomology. We introduce spin-norm and… (more)

Subjects/Keywords: Dirac equation ; Invariants ; Representations of groups

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APA (6^th Edition):

Dong, C. (2011). Spin-lowest k-types and Dirac cohomology. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Dong, Chao-Ping. “Spin-lowest k-types and Dirac cohomology.” 2011. Thesis, Hong Kong University of Science and Technology. Accessed March 07, 2021. http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Dong, Chao-Ping. “Spin-lowest k-types and Dirac cohomology.” 2011. Web. 07 Mar 2021.

Vancouver:

Dong C. Spin-lowest k-types and Dirac cohomology. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2011. [cited 2021 Mar 07]. Available from: http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dong C. Spin-lowest k-types and Dirac cohomology. [Thesis]. Hong Kong University of Science and Technology; 2011. Available from: http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Hong Kong University of Science and Technology

5. Huang, Yanze. Dirac cohomology for U(m,n) and gl(m ).

Degree: 2015, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html

► This thesis consists of two parts. In the ﬁrst part, we recall the deﬁnition of Dirac cohomology for category O^p and present a new proof… (more)

Subjects/Keywords: Dirac equation ; Representations of groups ; Cohomology operations

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APA (6^th Edition):

Huang, Y. (2015). Dirac cohomology for U(m,n) and gl(m ). (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Huang, Yanze. “Dirac cohomology for U(m,n) and gl(m ).” 2015. Thesis, Hong Kong University of Science and Technology. Accessed March 07, 2021. http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Huang, Yanze. “Dirac cohomology for U(m,n) and gl(m ).” 2015. Web. 07 Mar 2021.

Vancouver:

Huang Y. Dirac cohomology for U(m,n) and gl(m ). [Internet] [Thesis]. Hong Kong University of Science and Technology; 2015. [cited 2021 Mar 07]. Available from: http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Huang Y. Dirac cohomology for U(m,n) and gl(m ). [Thesis]. Hong Kong University of Science and Technology; 2015. Available from: http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Princeton University

6. Gontijo Campos, Andre. Quantum control over vast time scales and lenght scales .

Degree: PhD, 2017, Princeton University

URL: http://arks.princeton.edu/ark:/88435/dsp01g732dc65t

► Quantum control theory (QCT) is concerned with the active manipulation of phys- ical and chemical processes on the atomic and molecular scale. For a specified… (more)

▼ Quantum control theory (QCT) is concerned with the active manipulation of phys- ical and chemical processes on the atomic and molecular scale. For a specified con- trol objective, and with restrictions imposed by many possible constraints, the time- dependent field required to manipulate the system in a desired way can be designed using quantum control theory. This dissertation proposes several novel applications of QCT to actively manipulate the dynamics of both quantum and classical systems with and without interactions with an external environment, in both relativistic and non-relativistic regimes. In Chapter 2, the paradigm of spectral dynamic mimicry (SDM) in which laser fields are shaped to make any atomic and molecular systems look identical spectrally is put forward. SDM successfully avoids optimization rou- tines, and provides a powerful tool to find a laser pulse that induces a desired optical response from an arbitrary dynamical system. As illustrations, driving fields are com- puted to induce the same optical response from a variety of distinct systems (open and closed, quantum and classical). The formulation may also be applied to design materials with specified optical characteristics. These findings reveal unexplored flex- ibilities of nonlinear optics. Little is known about the control of relativistic quantum systems. Therefore, an extension of QCT to the Dirac equation is proposed. The main contributions are: (i) Chapters 3 and 4 reach an unprecedented level of control while providing exciting new insights on the complex quantum dynamics of relativis- tic electrons. The method developed provides a very powerful tool to generate new analytical solutions to the Dirac equation, (ii) Chapters 5 and 6 present an open system interaction formalism for the Dirac equation. The presented framework en- ables efficient numerical simulations of relativistic dynamics within the von Neumann density matrix and Wigner phase space descriptions, an essential requirement for the application of QCT, (iii) Chapter 7 proposes a Lindblad model of quantum elec- trodynamics (QED). The presented formalism enables a very efficient and practical numerical method to simulate QED effects, such as the Lamb shift and the anomalous magnetic moment of the electron, for a broad variety of systems. Advisors/Committee Members: Rabitz, Herschel A (advisor).

Subjects/Keywords: Dirac equation; Phase space; Quantum Mechanics; Relativity

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APA (6^th Edition):

Gontijo Campos, A. (2017). Quantum control over vast time scales and lenght scales . (Doctoral Dissertation). Princeton University. Retrieved from http://arks.princeton.edu/ark:/88435/dsp01g732dc65t

Chicago Manual of Style (16^th Edition):

Gontijo Campos, Andre. “Quantum control over vast time scales and lenght scales .” 2017. Doctoral Dissertation, Princeton University. Accessed March 07, 2021. http://arks.princeton.edu/ark:/88435/dsp01g732dc65t.

MLA Handbook (7^th Edition):

Gontijo Campos, Andre. “Quantum control over vast time scales and lenght scales .” 2017. Web. 07 Mar 2021.

Vancouver:

Gontijo Campos A. Quantum control over vast time scales and lenght scales . [Internet] [Doctoral dissertation]. Princeton University; 2017. [cited 2021 Mar 07]. Available from: http://arks.princeton.edu/ark:/88435/dsp01g732dc65t.

Council of Science Editors:

Gontijo Campos A. Quantum control over vast time scales and lenght scales . [Doctoral Dissertation]. Princeton University; 2017. Available from: http://arks.princeton.edu/ark:/88435/dsp01g732dc65t

Loughborough University

7. Brada, Matej. Graphene electronic devices in magnetic field.

Degree: PhD, 2016, Loughborough University

URL: http://hdl.handle.net/2134/21800

► This thesis discusses the two dimensional allotrope of carbon known as graphene in presence of magnetic field, with special focus on edge states. The structure… (more)

Subjects/Keywords: 620.1; Graphene; Magnetizatoin; Edge states; Dirac equation

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APA (6^th Edition):

Brada, M. (2016). Graphene electronic devices in magnetic field. (Doctoral Dissertation). Loughborough University. Retrieved from http://hdl.handle.net/2134/21800

Chicago Manual of Style (16^th Edition):

Brada, Matej. “Graphene electronic devices in magnetic field.” 2016. Doctoral Dissertation, Loughborough University. Accessed March 07, 2021. http://hdl.handle.net/2134/21800.

MLA Handbook (7^th Edition):

Brada, Matej. “Graphene electronic devices in magnetic field.” 2016. Web. 07 Mar 2021.

Vancouver:

Brada M. Graphene electronic devices in magnetic field. [Internet] [Doctoral dissertation]. Loughborough University; 2016. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/2134/21800.

Council of Science Editors:

Brada M. Graphene electronic devices in magnetic field. [Doctoral Dissertation]. Loughborough University; 2016. Available from: http://hdl.handle.net/2134/21800

The Ohio State University

8. Hama, Shinichi. Applications of Dirac phenomenology.

Degree: PhD, Graduate School, 1984, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983

Subjects/Keywords: Physics; Dirac equation

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APA (6^th Edition):

Hama, S. (1984). Applications of Dirac phenomenology. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983

Chicago Manual of Style (16^th Edition):

Hama, Shinichi. “Applications of Dirac phenomenology.” 1984. Doctoral Dissertation, The Ohio State University. Accessed March 07, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983.

MLA Handbook (7^th Edition):

Hama, Shinichi. “Applications of Dirac phenomenology.” 1984. Web. 07 Mar 2021.

Vancouver:

Hama S. Applications of Dirac phenomenology. [Internet] [Doctoral dissertation]. The Ohio State University; 1984. [cited 2021 Mar 07]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983.

Council of Science Editors:

Hama S. Applications of Dirac phenomenology. [Doctoral Dissertation]. The Ohio State University; 1984. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983

NSYSU

9. Lin , Chia-Chi. Calculations of the Effective Dirac Hamiltonian in the Low-energy Limit by Using LÃ¶wdin Partitioning Method.

Degree: Master, Physics, 2016, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0423116-131419

► The proof of classical correspondence of Dirac equation( g=2and gâ 2 ) in low energy and T-BMT equation was given by Chen and Chiou[1, 2, 3].… (more)

Subjects/Keywords: LÃ¶wdin partitioning method; Dirac equation; T-BMT Equation

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APA (6^th Edition):

Lin , C. (2016). Calculations of the Effective Dirac Hamiltonian in the Low-energy Limit by Using LÃ¶wdin Partitioning Method. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0423116-131419

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lin , Chia-Chi. “Calculations of the Effective Dirac Hamiltonian in the Low-energy Limit by Using LÃ¶wdin Partitioning Method.” 2016. Thesis, NSYSU. Accessed March 07, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0423116-131419.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lin , Chia-Chi. “Calculations of the Effective Dirac Hamiltonian in the Low-energy Limit by Using LÃ¶wdin Partitioning Method.” 2016. Web. 07 Mar 2021.

Vancouver:

Lin C. Calculations of the Effective Dirac Hamiltonian in the Low-energy Limit by Using LÃ¶wdin Partitioning Method. [Internet] [Thesis]. NSYSU; 2016. [cited 2021 Mar 07]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0423116-131419.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lin C. Calculations of the Effective Dirac Hamiltonian in the Low-energy Limit by Using LÃ¶wdin Partitioning Method. [Thesis]. NSYSU; 2016. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0423116-131419

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Urbana-Champaign

10. Toprak, Ebru. Global dynamics of Schrodinger and Dirac equations.

Degree: PhD, Mathematics, 2018, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/101665

► In this document, we study the linear Schrödinger operator and linear massive Dirac operator in the L¹ → L^∞ settings. In Chapter~I, we focus on the… (more)

Subjects/Keywords: Schrodinger equation; Dirac equation; dispersive estimate; threshold-energy obstruction

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APA (6^th Edition):

Toprak, E. (2018). Global dynamics of Schrodinger and Dirac equations. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/101665

Chicago Manual of Style (16^th Edition):

Toprak, Ebru. “Global dynamics of Schrodinger and Dirac equations.” 2018. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed March 07, 2021. http://hdl.handle.net/2142/101665.

MLA Handbook (7^th Edition):

Toprak, Ebru. “Global dynamics of Schrodinger and Dirac equations.” 2018. Web. 07 Mar 2021.

Vancouver:

Toprak E. Global dynamics of Schrodinger and Dirac equations. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2018. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/2142/101665.

Council of Science Editors:

Toprak E. Global dynamics of Schrodinger and Dirac equations. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2018. Available from: http://hdl.handle.net/2142/101665

11. Borrelli, William. L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics.

Degree: Docteur es, Mathématiques, 2018, Paris Sciences et Lettres (ComUE)

URL: http://www.theses.fr/2018PSLED021

►

Ces dernières années, de nouveaux matériaux bidimensionnels aux propriétés surprenantes ont été découverts, le plus connu étant le graphène. Dans ces matériaux, les électrons du… (more)

▼

Ces dernières années, de nouveaux matériaux bidimensionnels aux propriétés surprenantes ont été découverts, le plus connu étant le graphène. Dans ces matériaux, les électrons du niveau de Fermi ont une masse apparente nulle, et peuvent être décrits par l’équation de Dirac sans masse. Un tel phénomène apparaît dans des situations très générales, pour les matériaux bidimensionnels ayant une structure périodique en « nid d’abeille ». De plus, la prise en compte d’interactions mène à des équations de Dirac non linéaires. Ces équations apparaissent également dans l’étude des paquets d’ondes lumineuses dans certaines fibres optiques. Le but de cette thèse est d’étudier l’existence et la stabilité de solutions stationnaires de ces équations avec termes non linéaires sous-critiques et critiques, et de montrer qu’ils sont la limite de solutions stationnaires de l’équation de Schrödinger non linéaire à potentiel périodique dans certains régimes de paramètres. Du point de vue mathématique, on devra résoudre les équations d’Euler-Lagrange de fonctionnelles d'énergie fortement indéfinies faisant intervenir l’opérateur de Dirac. Il s’agira en particulier d’étudier le cas des non-linéarités avec exposant critique, encore mal comprises pour ce type de fonctionnelle, et qui apparaissent naturellement en optique non linéaire. Les résultats de cette thèse pourraient avoir un impact important en physique, en particulier en physique du solide et optique non linéaire.

Recently, new two-dimensional materials possessing unique properties have been discovered, the most famous being the graphene. In this materials, electrons at the Fermi level behave as massless particles and can be described by the massless Dirac equation. This phenomenon is quite general, and it is a common features of "honeycomb" periodic structures. Moreover, taking into account interaction leads to non-linear Dirac equations, which also appear in the description of light propagation in particular waveguides. The aim of the thesis is to study existence and stability of stationary solutions for those equations with both sub-critical and critical nonlinearities, and to show that they are limit of stationary solutions to the Schroedinger equation with honeycomb potential, for a suitable choice of parameters. This amounts to solving the Euler-Lagrange equation for strongly indefinite energy functionals, involving the Dirac operator. We will deal with critical nonlinearities, which are still poorly understood, and appear naturally in non-linear optics. This results may have an impact on the understanding some solid state or nonlinear optics systems.

Advisors/Committee Members: Séré, Eric (thesis director).

Subjects/Keywords: Equation de Dirac non-linéaire; Graphène; Méthodes variationnelles; Solutions stationnaires; Graphes quantiques; Cônes de Dirac; Non-Linear Dirac equation; Graphene; Variational methods; Stationary solutions; Quantum graphs; Dirac materials; 519

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APA (6^th Edition):

Borrelli, W. (2018). L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics. (Doctoral Dissertation). Paris Sciences et Lettres (ComUE). Retrieved from http://www.theses.fr/2018PSLED021

Chicago Manual of Style (16^th Edition):

Borrelli, William. “L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics.” 2018. Doctoral Dissertation, Paris Sciences et Lettres (ComUE). Accessed March 07, 2021. http://www.theses.fr/2018PSLED021.

MLA Handbook (7^th Edition):

Borrelli, William. “L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics.” 2018. Web. 07 Mar 2021.

Vancouver:

Borrelli W. L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics. [Internet] [Doctoral dissertation]. Paris Sciences et Lettres (ComUE); 2018. [cited 2021 Mar 07]. Available from: http://www.theses.fr/2018PSLED021.

Council of Science Editors:

Borrelli W. L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics. [Doctoral Dissertation]. Paris Sciences et Lettres (ComUE); 2018. Available from: http://www.theses.fr/2018PSLED021

12. Marcos Ferreira de Melo. ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis.

Degree: PhD, 2008, Universidade Federal do Ceará

URL: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;

►

Neste trabalho, demonstramos teoremas estabelecendo condiÃÃes suficientes para a existÃncia de imersÃes isomÃtricas com curvatura extrÃnseca prescrita em grupos de Lie nilpotentes e solÃveis. Obtemos… (more)

Subjects/Keywords: variedades riemanianas; superfÃcies mÃnimas; GEOMETRIA DIFERENCIAL; Dirac equation; Riemannian manifolds; minimal surfaces; Dirac, equaÃÃo de

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APA (6^th Edition):

Melo, M. F. d. (2008). ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis. (Doctoral Dissertation). Universidade Federal do Ceará. Retrieved from http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;

Chicago Manual of Style (16^th Edition):

Melo, Marcos Ferreira de. “ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis.” 2008. Doctoral Dissertation, Universidade Federal do Ceará. Accessed March 07, 2021. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;.

MLA Handbook (7^th Edition):

Melo, Marcos Ferreira de. “ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis.” 2008. Web. 07 Mar 2021.

Vancouver:

Melo MFd. ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis. [Internet] [Doctoral dissertation]. Universidade Federal do Ceará 2008. [cited 2021 Mar 07]. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;.

Council of Science Editors:

Melo MFd. ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis. [Doctoral Dissertation]. Universidade Federal do Ceará 2008. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;

Uppsala University

13. Härlin, Fredrik. Retardation effects in fundamental physics.

Degree: Theoretical Physics, 2011, Uppsala University

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-155368

► Speculations in the signicance of retardation aects in fundamental physics, especiallythe Dirac equation, that Atiyah and Moore bring up in "A shifted view of… (more)

Subjects/Keywords: shift; dirac equation; klein gordon equation; retardation; fundamental physics; retardation; dirac ekvationen; klein gordon ekvationen; fundamental fysik

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APA (6^th Edition):

Härlin, F. (2011). Retardation effects in fundamental physics. (Thesis). Uppsala University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-155368

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Härlin, Fredrik. “Retardation effects in fundamental physics.” 2011. Thesis, Uppsala University. Accessed March 07, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-155368.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Härlin, Fredrik. “Retardation effects in fundamental physics.” 2011. Web. 07 Mar 2021.

Vancouver:

Härlin F. Retardation effects in fundamental physics. [Internet] [Thesis]. Uppsala University; 2011. [cited 2021 Mar 07]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-155368.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Härlin F. Retardation effects in fundamental physics. [Thesis]. Uppsala University; 2011. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-155368

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

14. Mario Henrique Gomes Pacheco. Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi .

Degree: PhD, 2007, Universidade Federal do Ceará

URL: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;

►

Nesta tese analisamos o oscilador de Dirac tridimensional em um banho tÃrmico. Encontramos que o calor especÃfico do oscilador de Dirac tridimensional Ã duas vezes… (more)

Subjects/Keywords: FISICA DAS PARTICULAS ELEMENTARES E CAMPOS; MecÃnica QuÃntica RelativÃstica; EquaÃÃo de Dirac; Oscilador de Dirac; Relativistic Quantum Mechanics; Dirac equation; Dirac oscillator

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pacheco, M. H. G. (2007). Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi . (Doctoral Dissertation). Universidade Federal do Ceará. Retrieved from http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;

Chicago Manual of Style (16^th Edition):

Pacheco, Mario Henrique Gomes. “Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi .” 2007. Doctoral Dissertation, Universidade Federal do Ceará. Accessed March 07, 2021. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;.

MLA Handbook (7^th Edition):

Pacheco, Mario Henrique Gomes. “Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi .” 2007. Web. 07 Mar 2021.

Vancouver:

Pacheco MHG. Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi . [Internet] [Doctoral dissertation]. Universidade Federal do Ceará 2007. [cited 2021 Mar 07]. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;.

Council of Science Editors:

Pacheco MHG. Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi . [Doctoral Dissertation]. Universidade Federal do Ceará 2007. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;

Stellenbosch University

15. Williams, Paul Henry. Relativistic quantum mechanics on non-commutative spaces.

Degree: MSc, Physics, 2015, Stellenbosch University

URL: http://hdl.handle.net/10019.1/97990

►

ENGLISH ABSTRACT: A brief review of non-relativistic and relativistic quantum mechanics is carried out, with particular attention to concepts that are modified in the noncommutative… (more)

▼

ENGLISH ABSTRACT: A brief review of non-relativistic and relativistic quantum mechanics is carried out, with particular attention to concepts that are modified in the noncommutative setting. The Hilbert-Schmidt operator formulation of non-relativistic, non-commutative quantum mechanics is generalized to the relativistic setting of 4-dimensional non-commutative space-time. The generators of Lorentz transformations are derived in this formalism and compared with the commutative case. It is shown that the non-interacting, non-commutative Dirac equation is Lorentz invariant. Lorentz invariance can be maintained when electromagnetic interactions are included provided that the gauge and Dirac fields are composed through an appropriate star product. The appropriate gauge transformations for the non-commutative Dirac equation are found. The non-commutative C, P, T symmetries of the interacting Dirac equation are investigated. The free Dirac equation and the interacting Dirac equation for the case of a constant background magnetic field are studied on the operator level. Systems confined to a specific space-time volume, and the associated boundary conditions, are studied using appropriate projection operators. As a specific example the Dirac equation in an infinitely long cylinder is considered. An operator valued action, which yields the interacting Dirac equation as the equation of motion, is derived and evaluated in a coherent state basis. The constant background magnetic field is revisited in the coherent state basis. This establishes the link to the standard star product formulation of non-commutative quantum field theories. Useful properties of the star product are derived in an appendix.

AFRIKAANSE OPSOMMING: 'n Kort hersiening van nie-relatiwistiese kwantummeganika op nie-kommutatiewe ruimtes word gedoen, met die fokus op konsepte wat verander in die niekommutatiewe raamwerk. Die Hilbert-Schmidt operator formulering van nierelatiwistiese, nie-kommutatiewe kwantummeganika word veralgemeen na die relatiwistiese raamwerk van 4-dimensionele nie-kommutatiewe ruimte-tyd. Die generatore van Lorentz transformasies word herlei in hierdie fomulering en word vergelyk met die kommutatiewe geval. Dit word aangetoon dat die vrye nie-kommutatiewe Dirac vergelyking Lorentz invariant is. Lorentz invariansie kan behou word, in die teenwoordigheid van elektromagnetiese wisselwerkings, as die yk en Dirac velde met die gepaste ster produck saamgestel word. Die regte yk transformasies van die nie-kommutatiewe Dirac vergelyking word gevind. Die nie-kommutatiewe C, P, T simmetrieë van die Dirac vergelyking met wisselwerkings word ondersoek. Die vrye Dirac vergelyking en die Dirac vergelyking 'n konstante agtergrond magneetveld word opgelos op die operator vlak. Stelsels beperk tot 'n spesifieke ruimte-tyd volume, en die geassosieerde randvoorwaardes, word bestudeer met gepaste projeksie operatore. Die Dirac vergelyking in 'n oneindig lang silinder word as 'n eksplisiete toepassing aangebied. 'n…

Advisors/Committee Members: Scholtz, F. G., Stellenbosch University. Faculty of Science. Dept. of Physics..

Subjects/Keywords: Relativistic quantum mechanics; Dirac equation; Hall effect; Electromagnetic interactions; UCTD

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Williams, P. H. (2015). Relativistic quantum mechanics on non-commutative spaces. (Masters Thesis). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/97990

Chicago Manual of Style (16^th Edition):

Williams, Paul Henry. “Relativistic quantum mechanics on non-commutative spaces.” 2015. Masters Thesis, Stellenbosch University. Accessed March 07, 2021. http://hdl.handle.net/10019.1/97990.

MLA Handbook (7^th Edition):

Williams, Paul Henry. “Relativistic quantum mechanics on non-commutative spaces.” 2015. Web. 07 Mar 2021.

Vancouver:

Williams PH. Relativistic quantum mechanics on non-commutative spaces. [Internet] [Masters thesis]. Stellenbosch University; 2015. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10019.1/97990.

Council of Science Editors:

Williams PH. Relativistic quantum mechanics on non-commutative spaces. [Masters Thesis]. Stellenbosch University; 2015. Available from: http://hdl.handle.net/10019.1/97990

Columbia University

16. Tu, Jiqun. Lattice QCD Simulations towards Strong and Weak Coupling Limits.

Degree: 2020, Columbia University

URL: https://doi.org/10.7916/d8-74hj-ak60

► Lattice gauge theory is a special regularization of continuum gauge theories and the numerical simulation of lattice quantum chromodynamics (QCD) remains as the only first… (more)

▼ Lattice gauge theory is a special regularization of continuum gauge theories and the numerical simulation of lattice quantum chromodynamics (QCD) remains as the only first principle method to study non-perturbative QCD at low energy. The lattice spacing a, which serves as the ultraviolet cut off, plays a significant role in determining error on any lattice simulation results. Physical results come from extrapolating a series of simulations with different values for a to a=0. Reducing the size of these errors for non-zero a improves the extrapolation and minimizes the error. In the strong coupling limit the coarse lattice spacing pushes the analysis of the finite lattice spacing error to its limit. Section 4 measures two renormalized physical observables, the neutral kaon mixing parameter BK and the Delta I=3/2 K pi pi decay amplitude A2 on a lattice with coarse lattice spacing of a ~ 1GeV and explores the a² scaling properties at this scale. In the weak coupling limit the lattice simulations suffer from critical slowing down where for the Monte Carlo Markov evolution the cost of generating decorrelated samples increases significantly as the lattice spacing decreases, which makes reliable error analysis on the results expensive. Among the observables the topological charge of the configurations appears to have the longest integrated autocorrelation time. Based on a previous work where a diffusion model is proposed to describe the evolution of the topological charge, section 2 extends this model to lattices with dynamical fermions using a new numerical method that captures the behavior for different Fourier modes. Section 3 describes our effort to find a practical renormalization group transformation to transform lattice QCD between two different scales, whose knowledge could ultimately leads to a multi-scale evolution algorithm that solves the problem of critical slowing down. For a particular choice of action, we have found that doubling the lattice spacing of a fine lattice yields observables that agree at the few precent level with direct simulations on the coarser lattice. Section 5 aims at speeding up the lattice simulations in the weak coupling limit from the numerical method and hardware perspective. It proposes a preconditioner for solving the Dirac equation targeting the ensemble generation phase and details its implementation on currently the fastest supercomputer in the world.

Subjects/Keywords: Physics; Lattice gauge theories; Quantum chromodynamics; Coupling constants; Fermions; Dirac equation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tu, J. (2020). Lattice QCD Simulations towards Strong and Weak Coupling Limits. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-74hj-ak60

Chicago Manual of Style (16^th Edition):

Tu, Jiqun. “Lattice QCD Simulations towards Strong and Weak Coupling Limits.” 2020. Doctoral Dissertation, Columbia University. Accessed March 07, 2021. https://doi.org/10.7916/d8-74hj-ak60.

MLA Handbook (7^th Edition):

Tu, Jiqun. “Lattice QCD Simulations towards Strong and Weak Coupling Limits.” 2020. Web. 07 Mar 2021.

Vancouver:

Tu J. Lattice QCD Simulations towards Strong and Weak Coupling Limits. [Internet] [Doctoral dissertation]. Columbia University; 2020. [cited 2021 Mar 07]. Available from: https://doi.org/10.7916/d8-74hj-ak60.

Council of Science Editors:

Tu J. Lattice QCD Simulations towards Strong and Weak Coupling Limits. [Doctoral Dissertation]. Columbia University; 2020. Available from: https://doi.org/10.7916/d8-74hj-ak60

Hong Kong University of Science and Technology

17. Cheung, Ho Man MATH. Geometric and algebraic parameterizations for dirac cohomology of simple modules in Ορ and their applications.

Degree: 2019, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-101619 ; https://doi.org/10.14711/thesis-991012758869503412 ; http://repository.ust.hk/ir/bitstream/1783.1-101619/1/th_redirect.html

► In this thesis, we show that the Dirac cohomology H_D(L(λ)) of a simple highest weight module L(λ) in O^p can be parameterized by a specific… (more)

Subjects/Keywords: Dirac equation ; Lie algebras ; Cohomology operations ; Verma modules

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APA (6^th Edition):

Cheung, H. M. M. (2019). Geometric and algebraic parameterizations for dirac cohomology of simple modules in Ορ and their applications. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-101619 ; https://doi.org/10.14711/thesis-991012758869503412 ; http://repository.ust.hk/ir/bitstream/1783.1-101619/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Cheung, Ho Man MATH. “Geometric and algebraic parameterizations for dirac cohomology of simple modules in Ορ and their applications.” 2019. Thesis, Hong Kong University of Science and Technology. Accessed March 07, 2021. http://repository.ust.hk/ir/Record/1783.1-101619 ; https://doi.org/10.14711/thesis-991012758869503412 ; http://repository.ust.hk/ir/bitstream/1783.1-101619/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Cheung, Ho Man MATH. “Geometric and algebraic parameterizations for dirac cohomology of simple modules in Ορ and their applications.” 2019. Web. 07 Mar 2021.

Vancouver:

Cheung HMM. Geometric and algebraic parameterizations for dirac cohomology of simple modules in Ορ and their applications. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2019. [cited 2021 Mar 07]. Available from: http://repository.ust.hk/ir/Record/1783.1-101619 ; https://doi.org/10.14711/thesis-991012758869503412 ; http://repository.ust.hk/ir/bitstream/1783.1-101619/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Cheung HMM. Geometric and algebraic parameterizations for dirac cohomology of simple modules in Ορ and their applications. [Thesis]. Hong Kong University of Science and Technology; 2019. Available from: http://repository.ust.hk/ir/Record/1783.1-101619 ; https://doi.org/10.14711/thesis-991012758869503412 ; http://repository.ust.hk/ir/bitstream/1783.1-101619/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

18. Maridakis, Manousos. The concentration principle for Dirac operators.

Degree: 2014, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:2604

►

Thesis Ph. D. Michigan State University. Mathematics 2014.

The symbol map σ of an elliptic operator carries essential topological and geometrical information about the underlying… (more)

Subjects/Keywords: Dirac equation; Manifolds (Mathematics); Differential operators; Theoretical mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Maridakis, M. (2014). The concentration principle for Dirac operators. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:2604

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Maridakis, Manousos. “The concentration principle for Dirac operators.” 2014. Thesis, Michigan State University. Accessed March 07, 2021. http://etd.lib.msu.edu/islandora/object/etd:2604.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Maridakis, Manousos. “The concentration principle for Dirac operators.” 2014. Web. 07 Mar 2021.

Vancouver:

Maridakis M. The concentration principle for Dirac operators. [Internet] [Thesis]. Michigan State University; 2014. [cited 2021 Mar 07]. Available from: http://etd.lib.msu.edu/islandora/object/etd:2604.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Maridakis M. The concentration principle for Dirac operators. [Thesis]. Michigan State University; 2014. Available from: http://etd.lib.msu.edu/islandora/object/etd:2604

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

19. Gomez, Eliceo Cortes. Simulação da equação de Dirac em eletrodinâmica quântica de cavidades.

Degree: Mestrado, Física Básica, 2015, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/76/76131/tde-30032015-141034/ ;

►

Neste trabalho apresentamos um protocolo para simular, no contexto da eletrodinâmica quântica de cavidades, a equação de Dirac 2+1 D e 1+1 D para uma… (more)

▼

Neste trabalho apresentamos um protocolo para simular, no contexto da eletrodinâmica quântica de cavidades, a equação de Dirac 2+1 D e 1+1 D para uma partícula relativística livre, de spin ½. Especificamente, tratamos dois sistemas distintos: no primeiro consideramos um átomo de quatro níveis interagindo com dois modos da cavidade e quatro campos clássicos; no segundo, consideramos um átomo de três níveis interagindo com um modo da cavidade e dois campos clássicos. O primeiro sistema foi utilizado para simular a equação de Dirac 2+1 D. Através do segundo sistema mostramos como simular a equação de Dirac 1+1 D. Com esse sistema mostramos como manipular e controlar por meio das forças de acoplamentos dos campos, os valores da velocidade da luz e a energia de repouso da partícula relativística livre de Dirac simulada. Verificamos que a dinâmica de um elétron no formalismo da mecânica quântica relativística pode ser simulada usando experimentos em Eletrodinâmica Quântica de Cavidades. Neste contexto, analisamos o movimento oscilatório inesperado de uma partícula quântica relativística livre conhecido como Zitterbewegung.

In this work we present, in the context of cavity quantum electrodynamics, a protocol for simulating Dirac equation 2+1 and 1+1 for a relativistic free particle with spin ½. Specifically, we deal with two different systems: In the first one we consider a four level atom interacting with two modes of the cavity and four classical fields; In the second system we deal consider a three level atom and interacting with one mode of the cavity and two classical fields. The first system was used to simulate a 2+1 D Dirac equation. With the second system we show how to simulate a 1+1D Dirac equation. With these systems we show how to simulate and control through the field coupling strength, the values of the velocity of light and rest energy of the simulated Dirac´s relativistic free particle. We verify that the dynamics of one electron in the formalism of relativistic quantum mechanics can be simulated using experiments in cavity quantum electrodynamics. In this context, we analyzed the unexpected but known oscillatory movement of a relativistic free quantum particle.

Advisors/Committee Members: Moussa, Miled Hassan Youssef.

Subjects/Keywords: Cavity quantum electrodynamics; Dirac equation; Eletrodinâmica quântica de cavidades; Equação de Dirac; O efeito Zitterbewegung; Quantum simulation; Simulação quântica; Zitterbewegung effect

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gomez, E. C. (2015). Simulação da equação de Dirac em eletrodinâmica quântica de cavidades. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/76/76131/tde-30032015-141034/ ;

Chicago Manual of Style (16^th Edition):

Gomez, Eliceo Cortes. “Simulação da equação de Dirac em eletrodinâmica quântica de cavidades.” 2015. Masters Thesis, University of São Paulo. Accessed March 07, 2021. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-30032015-141034/ ;.

MLA Handbook (7^th Edition):

Gomez, Eliceo Cortes. “Simulação da equação de Dirac em eletrodinâmica quântica de cavidades.” 2015. Web. 07 Mar 2021.

Vancouver:

Gomez EC. Simulação da equação de Dirac em eletrodinâmica quântica de cavidades. [Internet] [Masters thesis]. University of São Paulo; 2015. [cited 2021 Mar 07]. Available from: http://www.teses.usp.br/teses/disponiveis/76/76131/tde-30032015-141034/ ;.

Council of Science Editors:

Gomez EC. Simulação da equação de Dirac em eletrodinâmica quântica de cavidades. [Masters Thesis]. University of São Paulo; 2015. Available from: http://www.teses.usp.br/teses/disponiveis/76/76131/tde-30032015-141034/ ;

Universidade Federal de Viçosa

20. Jakson Miranda Fonseca. Algumas contribuições ao estudo do Grafeno e dos Isolantes Topológicos.

Degree: 2012, Universidade Federal de Viçosa

URL: http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=4184

►

Nesta tese são estudados grafeno e isolantes topológicos. No caso do grafeno é considerado o espalhamento das quase partículas por defeitos topológicos representados por buracos,… (more)

▼

Nesta tese são estudados grafeno e isolantes topológicos. No caso do grafeno é considerado o espalhamento das quase partículas por defeitos topológicos representados por buracos, pentágonos e heptágonos. No caso de buracos os desvios de fase da função de onda são obtidos e em baixas concentrações são irrelevantes para o transporte eletrônico, determinando uma contribuição negligenciável para a resistividade. Quando pentágonos e heptágonos são introduzidos na rede e a corrente fermiônica é restrita para mover próxima a estes, essa é espalhada com um ângulo que depende do número de defeitos e do lado que a corrente passa. O efeito magnetoelétrico topológico é considerado em um isolante topológico cônico quando uma carga q está próxima do ápice. A corrente Hall induzida na superfície do cone é determinada. É considerado também um efeito Aharonov-Bohm gravitacional nesta geometria onde as componentes da função de onda ganham um desvio de fase quando transportadas paralelamente em torno do ápice do cone. Uma corrente movendo-se em direção ao ápice (ou base) do cone aparece devido a este efeito, levando a uma polarização elétrica do isolante topológico cônico. Este efeito pode ser detectado, por exemplo, por meio da carga Hall acumulada próxima ao ápice. Também é analizada a modificação induzida no espectro dos estados superfciais quando o isolante topológico é coberto por um ferromagneto com magnetização tipo-vórtice. São considerados a possibilidade de estados discretos ligados e espalhados e é encontrado que uma massa não é induzida diretamente para os portadores superficiais.

In this thesis we study graphene and topological insulators. In the case of graphene, we study the scattering of quasiparticles by topological defects, represented by holes, pentagons and heptagons. For the case of holes, we obtain the phase shift and found that at low concentration they appear to be irrelevant for the electron transport, giving a negligible contribution to the resistivity. Whenever pentagons and heptagons are introduced into the lattice and the fermionic current is constrained to move near one of them we realize that such a current is scattered with an angle that depends on the number of pentagons and on the side the current taken. We consider the topological magnetoelectric effect on a conical topological insulator when a point charge q is near the cone apex. The Hall current induced on the cone surface is determined. We also study a kind of gravitational Aharonov-Bohm effect in this geometry and realize a phase diference betwen the components of the wavefunctions upon closed parallel transport around the cone tip. Concretely, a net current owing towards cone apex (or botton) shows up, yielding electric polarization of the conical topological insulator. Such an effect may be detected, for instance, by means of the net accumulated Hall charge near the apex. We also analyzed the modification induced on the surface spectrum when a topological insulator is coated with an ferromagnet with magnetization like-vortex. We consider the…

Advisors/Committee Members: Lucas Álvares da Silva Mol, Daniel Heber Theodoro Franco, Afrânio Rodrigues Pereira, Edmar Avellar Soares, Claudio Benedito Silva Furtado, Winder Alexander de Moura Melo.

Subjects/Keywords: FISICA DA MATERIA CONDENSADA; Grafenos; Equação de Dirac; Fermions; Eletrodinâmica quântica; Isolantes topológicos; Graphene; Dirac equation; Fermions; Quantum electrodynamics; Topological insulators

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Fonseca, J. M. (2012). Algumas contribuições ao estudo do Grafeno e dos Isolantes Topológicos. (Thesis). Universidade Federal de Viçosa. Retrieved from http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=4184

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Fonseca, Jakson Miranda. “Algumas contribuições ao estudo do Grafeno e dos Isolantes Topológicos.” 2012. Thesis, Universidade Federal de Viçosa. Accessed March 07, 2021. http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=4184.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Fonseca, Jakson Miranda. “Algumas contribuições ao estudo do Grafeno e dos Isolantes Topológicos.” 2012. Web. 07 Mar 2021.

Vancouver:

Fonseca JM. Algumas contribuições ao estudo do Grafeno e dos Isolantes Topológicos. [Internet] [Thesis]. Universidade Federal de Viçosa; 2012. [cited 2021 Mar 07]. Available from: http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=4184.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fonseca JM. Algumas contribuições ao estudo do Grafeno e dos Isolantes Topológicos. [Thesis]. Universidade Federal de Viçosa; 2012. Available from: http://www.tede.ufv.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=4184

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

21. Idelon-Riton, Guillaume. Sur la théorie de la diffusion pour l'équation de Dirac massive en espace-temps Schwarzschild-Anti-de Sitter : On scattering theory for the massive Dirac equation in Schwarzschild-Anti-de Sitter space-time and applications.

Degree: Docteur es, Mathématiques, 2016, Université Grenoble Alpes (ComUE)

URL: http://www.theses.fr/2016GREAM094

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Développer une théorie de la diffusion dépendante du temps pour l'équation de Dirac massive en espace-temps Schwarzschil-Anti-de Sitter puis étudier la théorie des résonances pour… (more)

Subjects/Keywords: Théorie de la diffusion; Relativité générale; Équation de Dirac; Scattering theory; General relativity; Dirac equation; 510

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Idelon-Riton, G. (2016). Sur la théorie de la diffusion pour l'équation de Dirac massive en espace-temps Schwarzschild-Anti-de Sitter : On scattering theory for the massive Dirac equation in Schwarzschild-Anti-de Sitter space-time and applications. (Doctoral Dissertation). Université Grenoble Alpes (ComUE). Retrieved from http://www.theses.fr/2016GREAM094

Chicago Manual of Style (16^th Edition):

Idelon-Riton, Guillaume. “Sur la théorie de la diffusion pour l'équation de Dirac massive en espace-temps Schwarzschild-Anti-de Sitter : On scattering theory for the massive Dirac equation in Schwarzschild-Anti-de Sitter space-time and applications.” 2016. Doctoral Dissertation, Université Grenoble Alpes (ComUE). Accessed March 07, 2021. http://www.theses.fr/2016GREAM094.

MLA Handbook (7^th Edition):

Idelon-Riton, Guillaume. “Sur la théorie de la diffusion pour l'équation de Dirac massive en espace-temps Schwarzschild-Anti-de Sitter : On scattering theory for the massive Dirac equation in Schwarzschild-Anti-de Sitter space-time and applications.” 2016. Web. 07 Mar 2021.

Vancouver:

Idelon-Riton G. Sur la théorie de la diffusion pour l'équation de Dirac massive en espace-temps Schwarzschild-Anti-de Sitter : On scattering theory for the massive Dirac equation in Schwarzschild-Anti-de Sitter space-time and applications. [Internet] [Doctoral dissertation]. Université Grenoble Alpes (ComUE); 2016. [cited 2021 Mar 07]. Available from: http://www.theses.fr/2016GREAM094.

Council of Science Editors:

Idelon-Riton G. Sur la théorie de la diffusion pour l'équation de Dirac massive en espace-temps Schwarzschild-Anti-de Sitter : On scattering theory for the massive Dirac equation in Schwarzschild-Anti-de Sitter space-time and applications. [Doctoral Dissertation]. Université Grenoble Alpes (ComUE); 2016. Available from: http://www.theses.fr/2016GREAM094

22. Freitas, Tiago Carlos Adorno de. Efeitos clássicos e quânticos em teorias não comutativas.

Degree: PhD, Física, 2013, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/43/43134/tde-27032013-140230/ ;

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A presente tese de Doutorado refere-se a problemas em teoria de campos e mecânica quântica no espaço não comutativo (NC). Abordamos alguns sistemas físicos bem… (more)

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A presente tese de Doutorado refere-se a problemas em teoria de campos e mecânica quântica no espaço não comutativo (NC). Abordamos alguns sistemas físicos bem estudados em física teórica, como a teoria de Maxwell na presença de fontes externas, equação de Pauli, equação de Dirac em campos externos e o espectro do átomo de hidrogênio relativístico. Como um primeiro problema estudamos a teoria de calibre U(1)* e extendemos o mapa de Seiberg-Witten para incluir uma corrente externa e formulamos equações clássicas para os campos no espaço não comutativo. Soluções no vácuo e em um campo magnético externo para uma carga estática de tamanho finito a foram determinadas. Encontramos que uma carga estática além de ser um monopolo elétrico comporta-se como um dipolo magnético e um campo magnético externo modifica o campo de Coulomb a longas distâncias bem como alguns fatores de forma eletromagnéticos, comportamentos inerentes a consideração de uma geometria NC. Nesta direção analisamos a ambiguidade no mapa de Seiberg-Witten e mostramos que, no mínimo até a ordem estudada aqui, isto é equivalente a ambiguidade de se adicionar uma solução homogênea à condição de conservação da corrente. Demandando que o momento magnético NC seja menor que o erro existente na medida do momento magnético de léptons, obtemos uma estimativa superior para o parâmetro e seu comprimento fundamental associado l. Estudamos os níveis de energia do átomo de hidrogênio relativístico no formalismo da equação de Dirac no espaço NC para o campo de Coulomb. Demonstramos que no caso relativístico a não comutatividade quebra totalmente a degenerescência dos níveis 2S1/2; 2P1/2 e 2P3/2, abrindo novos canais de transição permitidos. Por fim construímos uma equação de onda não relativística para partículas de spin 1/2 através do limite não relativístico da equação de Dirac no espaço NC. Apresentamos um modelo pseudoclássico (à-la Berezin-Marinov) cuja quantização coincide com as equações de onda não relativísticas. Através da interação entre um spin não-relativístico e o campo magnético, através da equação de Pauli no espaço NC, construímos uma generalização para o modelo de Heisenberg para dois spins acoplados no espaço NC. Em tal modelo calculamos a amplitude de probabilidade de transição entre dois estados ortogonais do tipo EPR (Einstein-Podolsky-Rosen) submetidos em um campo magnético oscilatório e mostramos que, algumas de tais transições, que são proibidas no espaço comutativo são possíveis devido a não comutatividade do espaço.

The present PhD thesis refers to problems in field theory and quantum mechanics in noncommutative (NC) space. We study some well known physical systems in theoretical physics, such as the Maxwell theory in the presence of external sources, the Pauli equation, the Dirac equation with external fields and the relativistic Hydrogen atom. First we study the U(1)* gauge theory and extend the Seiberg-Witten map to include an external current and formulate classical field equations in NC space. Solutions in the vacuum and in an external…

Advisors/Committee Members: Guitman, Dmitri Maximovitch.

Subjects/Keywords: equação de dirac não comutativa; equação de maxwell não comutativa; mecânica quântica não comutativa; não-comutatividade; noncomutative dirac equation; noncomutative maxwell equation; noncomutative quantum mechanics; noncomutativity

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Freitas, T. C. A. d. (2013). Efeitos clássicos e quânticos em teorias não comutativas. (Doctoral Dissertation). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/43/43134/tde-27032013-140230/ ;

Chicago Manual of Style (16^th Edition):

Freitas, Tiago Carlos Adorno de. “Efeitos clássicos e quânticos em teorias não comutativas.” 2013. Doctoral Dissertation, University of São Paulo. Accessed March 07, 2021. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-27032013-140230/ ;.

MLA Handbook (7^th Edition):

Freitas, Tiago Carlos Adorno de. “Efeitos clássicos e quânticos em teorias não comutativas.” 2013. Web. 07 Mar 2021.

Vancouver:

Freitas TCAd. Efeitos clássicos e quânticos em teorias não comutativas. [Internet] [Doctoral dissertation]. University of São Paulo; 2013. [cited 2021 Mar 07]. Available from: http://www.teses.usp.br/teses/disponiveis/43/43134/tde-27032013-140230/ ;.

Council of Science Editors:

Freitas TCAd. Efeitos clássicos e quânticos em teorias não comutativas. [Doctoral Dissertation]. University of São Paulo; 2013. Available from: http://www.teses.usp.br/teses/disponiveis/43/43134/tde-27032013-140230/ ;

Université Paris-Sud – Paris XI

23. Bouvier, Patrick. Contributions à l’étude de l’effet Hawking pour des modèles en interaction : Contribution to the studies of the Hawking Effect for interacting models.

Degree: Docteur es, Mathématiques, 2013, Université Paris-Sud – Paris XI

URL: http://www.theses.fr/2013PA112356

►

L'effet Hawking prédit, dans un espace-temps décrivant l'effondrement d'une étoile à symétrie sphérique vers un trou noir de Schwarzschild, qu'un observateur statique, situé à l'infini,… (more)

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L'effet Hawking prédit, dans un espace-temps décrivant l'effondrement d'une étoile à symétrie sphérique vers un trou noir de Schwarzschild, qu'un observateur statique, situé à l'infini, observera un flux thermal de particules quantiques à la température de Hawking. La première démonstration mathématique de l'effet Hawking pour des champs quantiques libres est due à Bachelot, dont le travail sur les champs de Klein-Gordon a été ensuite étendu aux champs de Dirac, d'abord par Bachelot lui-même, puis par Melnyk. Ces travaux, placés dans le cadre d'une symétrie sphérique, ont été complétés par Häfner, qui donna une démonstration rigoureuse de l'effet Hawking pour des champs de Dirac, autour d'une étoile s'effondrant vers un trou noir de Kerr. Le but de cette thèse est d'étudier l'effet Hawking non plus dans un modèle de champs quantiques libres, où les problèmes posés se ramènent à l'étude d'équations aux dérivées partielles linéaires, mais dans un modèle de champs de Dirac en interaction. L'interaction est supposée à support compact, statique, et localisée à l'extérieur de l'étoile. Nous choisissons de traiter le cas d'un modèle jouet, dans un espace-temps de dimension 1+1, situation à laquelle on peut se ramener, au moins dans le cas libre, en utilisant la symétrie sphérique du problème. Nous étudions le comportement de champs de fermions de Dirac dans différentes situations : d'abord, pour une observable suivant l'effondrement de l'étoile ; puis pour une observable stationnaire ; enfin, pour une interaction dépendante du temps, localisée près de la surface de l'étoile. Dans chacun de ces cas, nous montrons l'existence de l'effet Hawking et donnons l'état limite correspondant.

The Hawking effect predicts that, in a space- time describing the collapse of a spherically symmetric star to a Schwarzschild black hole, a static observer at infinity sees the Unruh state as a thermal state at Hawking temperature. The first mathematical proof of the Hawking effect, in the original setting of Hawking, is due to Bachelot. His work on Klein-Gordon fields has been extended to Dirac fields, in the first place by Bachelot himself, and by Melnyk after that. Those works, placed in the setup of a spherically symmetric star, have been completed by Häfner, who gave a rigorous proof of the Hawking effect for Dirac fields, outside a star collapsing to a Kerr black hole. The aim of this thesis is to study the Hawking effect not for a model of free quantum fields, in which case the problems can be reduced to studies on linear partial differential equations, but for a model of interacting Dirac fields. The interaction will be considered as a static, compactly-supported interaction, living outside the star. We choose to study a toy model in a 1+1 dimensional space-time. Using the fact that the problem is spherically symetric, one can, at least in the free case, reduce the real problem to this toy model. We study the behavior of Dirac fermions fields in various situations : first, for an observable following the star's collapse ; then, for a…

Advisors/Committee Members: Gérard, Christian (thesis director).

Subjects/Keywords: Effet Hawking; Théorie quantique des champs; Fermions; Equation de Dirac; C*-algèbre; Hawking effect; Quantum Field Theory; Fermions; Dirac equation; C*-algebra

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Bouvier, P. (2013). Contributions à l’étude de l’effet Hawking pour des modèles en interaction : Contribution to the studies of the Hawking Effect for interacting models. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2013PA112356

Chicago Manual of Style (16^th Edition):

Bouvier, Patrick. “Contributions à l’étude de l’effet Hawking pour des modèles en interaction : Contribution to the studies of the Hawking Effect for interacting models.” 2013. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed March 07, 2021. http://www.theses.fr/2013PA112356.

MLA Handbook (7^th Edition):

Bouvier, Patrick. “Contributions à l’étude de l’effet Hawking pour des modèles en interaction : Contribution to the studies of the Hawking Effect for interacting models.” 2013. Web. 07 Mar 2021.

Vancouver:

Bouvier P. Contributions à l’étude de l’effet Hawking pour des modèles en interaction : Contribution to the studies of the Hawking Effect for interacting models. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2013. [cited 2021 Mar 07]. Available from: http://www.theses.fr/2013PA112356.

Council of Science Editors:

Bouvier P. Contributions à l’étude de l’effet Hawking pour des modèles en interaction : Contribution to the studies of the Hawking Effect for interacting models. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2013. Available from: http://www.theses.fr/2013PA112356

Virginia Tech

24. Clemence, Dominic Pharaoh. Half-bound states of a one-dimensional Dirac system: their effect on the Titchmarsh-Weyl M([lambda])-function and the scattering matrix.

Degree: PhD, Mathematics, 1988, Virginia Tech

URL: http://hdl.handle.net/10919/53936

► We study the effect of the so-called half-hound states on the Titchmarsh-Weyl M(λ)· function and the S-matrix for a one dimensional Dirac system. For short… (more)

Subjects/Keywords: LD5655.V856 1988.C592; Dirac equation; Wave equation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Clemence, D. P. (1988). Half-bound states of a one-dimensional Dirac system: their effect on the Titchmarsh-Weyl M([lambda])-function and the scattering matrix. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/53936

Chicago Manual of Style (16^th Edition):

Clemence, Dominic Pharaoh. “Half-bound states of a one-dimensional Dirac system: their effect on the Titchmarsh-Weyl M([lambda])-function and the scattering matrix.” 1988. Doctoral Dissertation, Virginia Tech. Accessed March 07, 2021. http://hdl.handle.net/10919/53936.

MLA Handbook (7^th Edition):

Clemence, Dominic Pharaoh. “Half-bound states of a one-dimensional Dirac system: their effect on the Titchmarsh-Weyl M([lambda])-function and the scattering matrix.” 1988. Web. 07 Mar 2021.

Vancouver:

Clemence DP. Half-bound states of a one-dimensional Dirac system: their effect on the Titchmarsh-Weyl M([lambda])-function and the scattering matrix. [Internet] [Doctoral dissertation]. Virginia Tech; 1988. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10919/53936.

Council of Science Editors:

Clemence DP. Half-bound states of a one-dimensional Dirac system: their effect on the Titchmarsh-Weyl M([lambda])-function and the scattering matrix. [Doctoral Dissertation]. Virginia Tech; 1988. Available from: http://hdl.handle.net/10919/53936

25. Ariche, Sadjiya. Régularité des solutions de problèmes elliptiques ou paraboliques avec des données sous forme de mesure : Regularity of the solutions of elliptic or parabolic problems with data measure.

Degree: Docteur es, Mathématiques. Mathématiques appliquées, 2015, Valenciennes

URL: http://www.theses.fr/2015VALE0015

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Dans cette thèse on étudie la régularité de problèmes elliptiques (Laplace, Helmholtz) ou paraboliques (équation de la chaleur) avec donnée mesure dans divers cadres géométriques.… (more)

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Dans cette thèse on étudie la régularité de problèmes elliptiques (Laplace, Helmholtz) ou paraboliques (équation de la chaleur) avec donnée mesure dans divers cadres géométriques. Ainsi, on considère pour les seconds membres des masses de Dirac en un point, sur une ligne infinie, semi-infinie ou finie, et également sur une courbe régulière. Les solutions de ces problèmes étant singulières sur la fracture (modélisée par la masse de Dirac dans le second membre), on étudie la régularité dans des espaces de Sobolev avec poids. Dans le cas d'une fracture droite, on utilise une technique classique qui consiste à appliquer une transformée de Fourier ou de Mellin à l'équation de Laplace. Ceci nous amène à étudier l'équation de Helmholtz en 2D. Pour ce dernier, on montre des estimations uniformes qui permettent ensuite de prendre la transformée inverse et d'obtenir le résultat de régularité attendu. De même, la transformée de Laplace transforme l'équation de la chaleur dans la même équation de Helmholtz en 2D. Dans le cas d'une fracture courbe régulière, grâce aux résultats de [D'angelo:2012], en utilisant un argument de localisation et un recouvrement dyadique, on obtient une régularité améliorée de la solution toujours dans les espaces de Sobolev avec poids.

In this thesis, we study the regularity of elliptic problems (Laplace, Helmholtz) or parabolic problems (heat equation) with measure data in different geometric frames. Thus, we consider for the second members, Dirac masses at a point, on a line, on a half-line, or on a bounded segment, and also on a regular curve. As the solutions of these problems are singular on the fracture (modeled by Dirac mass in the second member), we study their regularity in weighted Sobolev spaces. In the case of a straight fracture, using Fourier or Mellin technique reduces the problem in dimension three to a Helmholtz problem in dimension two. For the latter, we prove uniform estimates, which are then used to apply the inverse transform and to obtain the expected regularity result. Similarly, the Laplace transformation transforms the heat equation into the same Helmholtz equation in 2D. In the case of a smooth curve fracture, thanks to the results of [D'angelo:2012], using a localization argument and a dyadic recovery we get an improved smoothness of the solution always in weighted Sobolev spaces.

Advisors/Committee Members: Nicaise, Serge (thesis director), De Coster, Colette (thesis director).

Subjects/Keywords: Régularité; Espace de Sobolev à poids; Problèmes elliptiques; Equation de la chaleur; Mesure de Dirac; Fracture courbe; Equation de Helmholtz; Transformée de Fourier; Transformée de Mellin.; Regularity; Weighted Sobolev spaces; Elliptic problems; Heat equation; Dirac measure; Fracture curve; Helmholtz equation; Fourier transformation; Mellin transformation.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ariche, S. (2015). Régularité des solutions de problèmes elliptiques ou paraboliques avec des données sous forme de mesure : Regularity of the solutions of elliptic or parabolic problems with data measure. (Doctoral Dissertation). Valenciennes. Retrieved from http://www.theses.fr/2015VALE0015

Chicago Manual of Style (16^th Edition):

Ariche, Sadjiya. “Régularité des solutions de problèmes elliptiques ou paraboliques avec des données sous forme de mesure : Regularity of the solutions of elliptic or parabolic problems with data measure.” 2015. Doctoral Dissertation, Valenciennes. Accessed March 07, 2021. http://www.theses.fr/2015VALE0015.

MLA Handbook (7^th Edition):

Ariche, Sadjiya. “Régularité des solutions de problèmes elliptiques ou paraboliques avec des données sous forme de mesure : Regularity of the solutions of elliptic or parabolic problems with data measure.” 2015. Web. 07 Mar 2021.

Vancouver:

Ariche S. Régularité des solutions de problèmes elliptiques ou paraboliques avec des données sous forme de mesure : Regularity of the solutions of elliptic or parabolic problems with data measure. [Internet] [Doctoral dissertation]. Valenciennes; 2015. [cited 2021 Mar 07]. Available from: http://www.theses.fr/2015VALE0015.

Council of Science Editors:

Ariche S. Régularité des solutions de problèmes elliptiques ou paraboliques avec des données sous forme de mesure : Regularity of the solutions of elliptic or parabolic problems with data measure. [Doctoral Dissertation]. Valenciennes; 2015. Available from: http://www.theses.fr/2015VALE0015

Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

26. Pyrialakos, Georgios. Τοπολογικά φαινόμενα της γενικευμένης εξίσωσης Dirac σε διατάξεις φωτονικών πλεγμάτων.

Degree: 2019, Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

URL: http://hdl.handle.net/10442/hedi/45553

►

The scope of this doctoral thesis covers the theoretical study of photonic periodic devices for the simulation of quantum topological phenomena through the generalized Dirac… (more)

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The scope of this doctoral thesis covers the theoretical study of photonic periodic devices for the simulation of quantum topological phenomena through the generalized Dirac equation. The aim is to design the appropriate photonic structures, with targeted geometrical characteristics and periodic properties, to precisely modify the dynamics of light propagation. The study was based theoretically and numerically on the paraxial equation of electromagnetism and the approximate relations of the tight-binding model. In particular, through the description of the discrete model defined by the modes of the individual waveguides in the lattice, we reach an appropriate equivalence with the Dirac equation, which describes the dynamics of the fundamental relativistic free-space particles. In addition, through the appropriate modification of the properties of the individual waveguides, an attempt was made to break the basic symmetries of the quantum model and attain equivalence with a generalized form of the Dirac equation. This leads to the appearance of non-trivial phenomena such as the Dirac type II cones in the dispersion diagram. The structures designed for this purpose demonstrated great adaptability, and proved themselves very flexible in their ability to control all effective coupling terms in the discrete model and by extension all free variables of the generalised quantum model. Various phenomena are studied, both in continuous and infinite lattices as well as in terminated structures where the existence of edge modes is identified. The properties of these modes are extensively investigated and two notable effects are investigated, the ability to control the extend of the modes in the first Brillouin zone and the magnitude of dispersion for the Type-II case. The main objective of the final chapter is the incorporation of secondary characteristics through the theories of topology and PT symmetry. Through the appropriate splitting of the respective symmetries, both spatially in the propagation axis and temporally, phenomena such as zero damping in loss/gain structures and the appearance of unidirectional edge states emerge.

Η διατριβή διαπραγματεύεται την θεωρητική μελέτη φωτονικών περιοδικών διατάξεων για την προσομοίωση κβαντικών τοπολογκών φαινομένων μέσω της γενικευμένης εξίσωσης Dirac. Σκοπός αποτέλεσε η εξεύρεση και σχεδίαση των κατάλληλων φωτονικών δομών, με στοχευμένα γεωμετρικά χαρακτηριστικά και περιοδικές ιδιότητες, για την ακριβή τροποποίηση της μορφής του πεδίου κατά της διάδοσης σε αυτές. Η μελέτη βασίστηκε θεωρητικά στην εξίσωση της παραξονικής προσέγγισης του πεδίου και στις προσεγγιστικές σχέσεις του μοντέλου ισχυρής σύζευξης. Συγκεκριμένα, μέσω της περιγραφής του διακριτού μοντέλου που δημιουργείται από τα πλάτη των ρυθμών μεμονωμένων κυματοδηγικών διατάξεων επιτεύχθηκε η κατάλληλη ισοδυναμία με την εξίσωση Dirac που περιγράφει την δυναμική των θεμελιωδών ρελατιβιστικών σωματιδίων ελευθέρου χώρου. Ταυτόχρονα, μέσω της κατάλληλης τροποποίησης των ιδιοτήτων των επιμέρους δομών έγινε προσπάθεια…

Subjects/Keywords: Τοπολογία; Γενικευμένη εξίσωση Dirac; Φωτονικά πλέγματα; Χωρο-χρονική συμμετρία; Επιφανειακοί ρυθμοί; Φάση μπέρι; Topology; Generalized Dirac equation; Photonic lattices; Parity-time symmetry; Edge modes; Berry phase

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pyrialakos, G. (2019). Τοπολογικά φαινόμενα της γενικευμένης εξίσωσης Dirac σε διατάξεις φωτονικών πλεγμάτων. (Thesis). Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ). Retrieved from http://hdl.handle.net/10442/hedi/45553

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Pyrialakos, Georgios. “Τοπολογικά φαινόμενα της γενικευμένης εξίσωσης Dirac σε διατάξεις φωτονικών πλεγμάτων.” 2019. Thesis, Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ). Accessed March 07, 2021. http://hdl.handle.net/10442/hedi/45553.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Pyrialakos, Georgios. “Τοπολογικά φαινόμενα της γενικευμένης εξίσωσης Dirac σε διατάξεις φωτονικών πλεγμάτων.” 2019. Web. 07 Mar 2021.

Vancouver:

Pyrialakos G. Τοπολογικά φαινόμενα της γενικευμένης εξίσωσης Dirac σε διατάξεις φωτονικών πλεγμάτων. [Internet] [Thesis]. Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ); 2019. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10442/hedi/45553.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pyrialakos G. Τοπολογικά φαινόμενα της γενικευμένης εξίσωσης Dirac σε διατάξεις φωτονικών πλεγμάτων. [Thesis]. Aristotle University Of Thessaloniki (AUTH); Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ); 2019. Available from: http://hdl.handle.net/10442/hedi/45553

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

27. Taing, Cécile. Dynamique de concentration dans des équations aux dérivées partielles non locales issues de la biologie : Concentration dynamics in non local partial differential equations from biology.

Degree: Docteur es, Mathématiques appliquées, 2018, Sorbonne université

URL: http://www.theses.fr/2018SORUS077

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Cette thèse porte sur l'étude des dynamiques de masses de Dirac dans des équations aux dérivées partielles et intégro-différentielles issues de la biologie évolutive. Nous… (more)

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Cette thèse porte sur l'étude des dynamiques de masses de Dirac dans des équations aux dérivées partielles et intégro-différentielles issues de la biologie évolutive. Nous nous intéressons à des modèles de populations structurées en trait phénotypique en tenant compte des phénomènes d'adaptation et de mutations, afin de montrer la sélection d'individus les plus adaptés dans un environnement donné. La description de ces problèmes biologiques conduit à l'étude d'équations non linéaires et non locales, avec la présence d'un petit paramètre qui induit deux échelles de temps. Les solutions asymptotiques de ces équations sont des distributions de populations dans l'espace des traits et se concentrent en masses de Dirac en les traits dominants. Dans une première partie, nous nous intéressons à la dynamique des masses de Dirac dans un modèle de chémostat en utilisant une formulation Hamilton-Jacobi. Le modèle de chémostat est constitué d'un système d'équations décrivant la dynamique consommateurs-nutriment dans un système fermé. Dans une deuxième partie, nous étudions un modèle de compétition structuré en âge et en trait. Grâce à une factorisation adaptée, nous obtenons la limite asymptotique de la solution comme le produit d'un profil en âge et d'un profil en trait. Lorsque les mutations sont introduites, une équation d'Hamilton-Jacobi apparaît et nous démontrons un résultat d’unicité associé dans le cadre des solutions de viscosité. La dernière partie s'intéresse aux populations sexuées. Nous étudions une famille de modèles de populations sexuées présentant une asymétrie dans l'hérédité ou la fécondité : chaque individu hérite principalement des traits de la mère.

This thesis focuses on the dynamics of Dirac mass concentrations in non-local partial differential and integro-differential equations motivated by evolutionary biology. We consider population models structured in phenotypical traits and, taking into account adaptation and mutation phenomena, we aim to describe the selection of the fittest traits in a given environment. The mathematical modeling of these biological problems leads to nonlinear and nonlocal equations, with a small parameter that induces two time-scales. The asymptotic solutions to these equations are population distributions on the traits space and concentrate in Dirac masses located on the dominant traits. In the first part, we study the Dirac mass dynamics in a chemostat model, using a Hamilton-Jacobi formulation. The chemostat model is a system of equations describing the dynamics of consumers and nutrients in a bioreactor. In a second part, we investigate a competition model structured in age and phenotypical traits. By means of an appropriate factorization, we obtain the asymptotic limit of the solution as a decomposition into two profiles, one in age, the other in traits. When mutations are introduced, a Hamilton-Jacobi equation arises and we prove a uniqueness result of the solution to this equation in the framework of viscosity solutions. The last part is devoted to sexual population…

Advisors/Committee Members: Perthame, Benoît (thesis director), Lorz, Alexander (thesis director).

Subjects/Keywords: Dynamique adaptative; Modèles de sélection-mutation; Équation de Hamilton-Jacobi; Solutions de viscosité; Concentration en masses de Dirac; Analyse asymptotique; Adaptative dynamics; Hamilton-Jacobi equation; Dirac masses concentration

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Taing, C. (2018). Dynamique de concentration dans des équations aux dérivées partielles non locales issues de la biologie : Concentration dynamics in non local partial differential equations from biology. (Doctoral Dissertation). Sorbonne université. Retrieved from http://www.theses.fr/2018SORUS077

Chicago Manual of Style (16^th Edition):

Taing, Cécile. “Dynamique de concentration dans des équations aux dérivées partielles non locales issues de la biologie : Concentration dynamics in non local partial differential equations from biology.” 2018. Doctoral Dissertation, Sorbonne université. Accessed March 07, 2021. http://www.theses.fr/2018SORUS077.

MLA Handbook (7^th Edition):

Taing, Cécile. “Dynamique de concentration dans des équations aux dérivées partielles non locales issues de la biologie : Concentration dynamics in non local partial differential equations from biology.” 2018. Web. 07 Mar 2021.

Vancouver:

Taing C. Dynamique de concentration dans des équations aux dérivées partielles non locales issues de la biologie : Concentration dynamics in non local partial differential equations from biology. [Internet] [Doctoral dissertation]. Sorbonne université; 2018. [cited 2021 Mar 07]. Available from: http://www.theses.fr/2018SORUS077.

Council of Science Editors:

Taing C. Dynamique de concentration dans des équations aux dérivées partielles non locales issues de la biologie : Concentration dynamics in non local partial differential equations from biology. [Doctoral Dissertation]. Sorbonne université; 2018. Available from: http://www.theses.fr/2018SORUS077

Texas A&M University

28. Davenport, Mark Manson. A phenomenological model of elementary Dirac particles in a higher-dimensional space.

Degree: MS, physics, 2012, Texas A&M University

URL: http://hdl.handle.net/1969.1/ETD-TAMU-1987-THESIS-D247

Subjects/Keywords: physics.; Major physics.; Quarks.; Leptons (Nuclear Physics); Dirac equation.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Davenport, M. M. (2012). A phenomenological model of elementary Dirac particles in a higher-dimensional space. (Masters Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/ETD-TAMU-1987-THESIS-D247

Chicago Manual of Style (16^th Edition):

Davenport, Mark Manson. “A phenomenological model of elementary Dirac particles in a higher-dimensional space.” 2012. Masters Thesis, Texas A&M University. Accessed March 07, 2021. http://hdl.handle.net/1969.1/ETD-TAMU-1987-THESIS-D247.

MLA Handbook (7^th Edition):

Davenport, Mark Manson. “A phenomenological model of elementary Dirac particles in a higher-dimensional space.” 2012. Web. 07 Mar 2021.

Vancouver:

Davenport MM. A phenomenological model of elementary Dirac particles in a higher-dimensional space. [Internet] [Masters thesis]. Texas A&M University; 2012. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-1987-THESIS-D247.

Council of Science Editors:

Davenport MM. A phenomenological model of elementary Dirac particles in a higher-dimensional space. [Masters Thesis]. Texas A&M University; 2012. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-1987-THESIS-D247

University of Tasmania

29. Corney, Stuart(Stuart Paul). Superalgebraisation of BFV-BRST quantisation.

Degree: 2000, University of Tasmania

URL: https://eprints.utas.edu.au/19093/1/whole_CorneyStuartPaul2000_thesis.pdf

► In recent years it has been shown that, for the BFV-BRST extended phase-space quantisation of relativistic systems, hidden higher symmetry superalgebras are relevant. We examine… (more)

Subjects/Keywords: Superalgebras; Particles; Relativistic; Scalar field theory; Dirac equation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Corney, S. P. (2000). Superalgebraisation of BFV-BRST quantisation. (Thesis). University of Tasmania. Retrieved from https://eprints.utas.edu.au/19093/1/whole_CorneyStuartPaul2000_thesis.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Corney, Stuart(Stuart Paul). “Superalgebraisation of BFV-BRST quantisation.” 2000. Thesis, University of Tasmania. Accessed March 07, 2021. https://eprints.utas.edu.au/19093/1/whole_CorneyStuartPaul2000_thesis.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Corney, Stuart(Stuart Paul). “Superalgebraisation of BFV-BRST quantisation.” 2000. Web. 07 Mar 2021.

Vancouver:

Corney SP. Superalgebraisation of BFV-BRST quantisation. [Internet] [Thesis]. University of Tasmania; 2000. [cited 2021 Mar 07]. Available from: https://eprints.utas.edu.au/19093/1/whole_CorneyStuartPaul2000_thesis.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Corney SP. Superalgebraisation of BFV-BRST quantisation. [Thesis]. University of Tasmania; 2000. Available from: https://eprints.utas.edu.au/19093/1/whole_CorneyStuartPaul2000_thesis.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Hong Kong University of Science and Technology

30. Cheng, Jian-Jun. Restrictions of invariants of reflections and dirac cohomology.

Degree: 2004, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-2013 ; https://doi.org/10.14711/thesis-b832325 ; http://repository.ust.hk/ir/bitstream/1783.1-2013/1/th_redirect.html

► Let G be a real semisimple Lie group with finite center. Let g0 = k0 ⊕ p0 be a Cartan decomposition for the Lie algebra… (more)

Subjects/Keywords: Dirac equation ; Reflection groups ; Invariants ; Homology theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Cheng, J. (2004). Restrictions of invariants of reflections and dirac cohomology. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-2013 ; https://doi.org/10.14711/thesis-b832325 ; http://repository.ust.hk/ir/bitstream/1783.1-2013/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Cheng, Jian-Jun. “Restrictions of invariants of reflections and dirac cohomology.” 2004. Thesis, Hong Kong University of Science and Technology. Accessed March 07, 2021. http://repository.ust.hk/ir/Record/1783.1-2013 ; https://doi.org/10.14711/thesis-b832325 ; http://repository.ust.hk/ir/bitstream/1783.1-2013/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Cheng, Jian-Jun. “Restrictions of invariants of reflections and dirac cohomology.” 2004. Web. 07 Mar 2021.

Vancouver:

Cheng J. Restrictions of invariants of reflections and dirac cohomology. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2004. [cited 2021 Mar 07]. Available from: http://repository.ust.hk/ir/Record/1783.1-2013 ; https://doi.org/10.14711/thesis-b832325 ; http://repository.ust.hk/ir/bitstream/1783.1-2013/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Cheng J. Restrictions of invariants of reflections and dirac cohomology. [Thesis]. Hong Kong University of Science and Technology; 2004. Available from: http://repository.ust.hk/ir/Record/1783.1-2013 ; https://doi.org/10.14711/thesis-b832325 ; http://repository.ust.hk/ir/bitstream/1783.1-2013/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations