subject:(Bi fractional Wigner function)

University of Bradford

1. Agyo, Sanfo David. Bi-fractional transforms in phase space.

Degree: PhD, 2016, University of Bradford

► The displacement operator is related to the displaced parity operator through a two dimensional Fourier transform. Both operators are important operators in phase space and… (more)

Subjects/Keywords: 515; Phase space methods; Coherent states; Bi-fractional coherent states; Bi-fractional Wigner function; Bi-fractional P-function; Bi-fractional Q-function; Bi-fractional Moyal star product; Bi-fractional Berezin formalism

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APA (6^th Edition):

Agyo, S. D. (2016). Bi-fractional transforms in phase space. (Doctoral Dissertation). University of Bradford. Retrieved from http://hdl.handle.net/10454/14522

Chicago Manual of Style (16^th Edition):

Agyo, Sanfo David. “Bi-fractional transforms in phase space.” 2016. Doctoral Dissertation, University of Bradford. Accessed March 06, 2021. http://hdl.handle.net/10454/14522.

MLA Handbook (7^th Edition):

Agyo, Sanfo David. “Bi-fractional transforms in phase space.” 2016. Web. 06 Mar 2021.

Vancouver:

Agyo SD. Bi-fractional transforms in phase space. [Internet] [Doctoral dissertation]. University of Bradford; 2016. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10454/14522.

Council of Science Editors:

Agyo SD. Bi-fractional transforms in phase space. [Doctoral Dissertation]. University of Bradford; 2016. Available from: http://hdl.handle.net/10454/14522

Princeton University

2. Liu, Yang. Magneto-Transport Study of Quantum Phases in Wide GaAs Quantum Wells .

Degree: PhD, 2014, Princeton University

URL: http://arks.princeton.edu/ark:/88435/dsp0105741r842

► In this thesis we study several quantum phases in very high quality two-dimensional electron systems (2DESs) confined to GaAs single wide quantum wells (QWs). In… (more)

▼ In this thesis we study several quantum phases in very high quality two-dimensional electron systems (2DESs) confined to GaAs single wide quantum wells (QWs). In these systems typically two electric subbands are occupied. By controlling the electron density as well as the QW symmetry, we can fine tune the cyclotron and subband separation energies, so that Landau levels (LLs) belonging to different subbands cross at the Fermi energy EF. The additional subband degree of freedom enables us to study different quantum phases. Magneto-transport measurements at fixed electron density n and various QW symmetries reveal a remarkable pattern for the appearance and disappearance of fractional quantum Hall (FQH) states at LL filling factors &nu = 10/3, 11/3, 13/3, 14/3, 16/3, and 17/3. These q/3 states are stable and strong as long as EF lies in a ground-state (N=0) LL, regardless of whether that level belongs to the symmetric or the anti-symmetric subband. We also observe subtle and distinct evolutions near filling factors &nu = 5/2 and 7/2, as we change the density n, or the symmetry of the charge distribution. The even-denominator FQH states are observed at &nu = 5/2, 7/2, 9/2 and 11/2 when EF lies in the N=1 LLs of the symmetric subband (the S1 levels). As we increase n, the &nu=5/2 FQH state suddenly disappears and turns into a compressible state once EF moves to the spin-up, N=0, anti-symmetric LL (the A0 level). The sharpness of this disappearance suggests a first-order transition from a FQH to a compressible state. Moreover, thanks to the renormalization of the susbband energy separation in a well with asymmetric change distribution, two LLs can get pinned to each other when they are crossing at EF. We observe a remarkable consequence of such pinning: There is a developing FQH state when the LL filling factor of the symmetric subband &nuS equals 5/2 while the antisymmetric subband has filling 1<&nuA<2. Next, we study the evolution of the &nu=5/2 and 7/2 FQH states as we add a parallel magnetic field, B||, in the plane of the sample. The first-order transitions at &nu=5/2 and 7/2 are softened when B|| is applied, thanks to the mixing of the LLs from different subbands. Meanwhile, a small B|| also introduces a severe transport anisotropy at &nu=5/2 while the FQH state still remains reasonably strong. Several other novel phenomena are also observed in wide QWs. In high (N &ge 2) LLs, our study reveals an unexpected rotation of the orientation of the stripe phase observed at a half-filled LL. This rotation is sensitive to the spin of the LL and the symmetry of the charge distribution in the QW. In the lowest LL, we observe a close competition between electron liquid and solid phases near filling factor &nu=1. In perticular, we observe a reentrant &nu=1… Advisors/Committee Members: Shayegan, Mansour (advisor).

Subjects/Keywords: 2DES; Fractional quantum Hall effect; Magneto-transport; Wigner crystal

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APA (6^th Edition):

Liu, Y. (2014). Magneto-Transport Study of Quantum Phases in Wide GaAs Quantum Wells . (Doctoral Dissertation). Princeton University. Retrieved from http://arks.princeton.edu/ark:/88435/dsp0105741r842

Chicago Manual of Style (16^th Edition):

Liu, Yang. “Magneto-Transport Study of Quantum Phases in Wide GaAs Quantum Wells .” 2014. Doctoral Dissertation, Princeton University. Accessed March 06, 2021. http://arks.princeton.edu/ark:/88435/dsp0105741r842.

MLA Handbook (7^th Edition):

Liu, Yang. “Magneto-Transport Study of Quantum Phases in Wide GaAs Quantum Wells .” 2014. Web. 06 Mar 2021.

Vancouver:

Liu Y. Magneto-Transport Study of Quantum Phases in Wide GaAs Quantum Wells . [Internet] [Doctoral dissertation]. Princeton University; 2014. [cited 2021 Mar 06]. Available from: http://arks.princeton.edu/ark:/88435/dsp0105741r842.

Council of Science Editors:

Liu Y. Magneto-Transport Study of Quantum Phases in Wide GaAs Quantum Wells . [Doctoral Dissertation]. Princeton University; 2014. Available from: http://arks.princeton.edu/ark:/88435/dsp0105741r842

University of Bradford

3. Hadhrami, Hilal Al. Phase space methods in finite quantum systems.

Degree: PhD, 2009, University of Bradford

URL: http://hdl.handle.net/10454/4250

► Quantum systems with finite Hilbert space where position x and momentum p take values in Z(d) (integers modulo d) are considered. Symplectic tranformations S(2ξ,Z(p)) in… (more)

Subjects/Keywords: 530.1; Phase space methods; Finite quantum systems; Finite Hilbert space; Symplectic tranformations; Bi-partite and tri-partite systems; Wigner function

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

APA (6^th Edition):

Hadhrami, H. A. (2009). Phase space methods in finite quantum systems. (Doctoral Dissertation). University of Bradford. Retrieved from http://hdl.handle.net/10454/4250

Chicago Manual of Style (16^th Edition):

Hadhrami, Hilal Al. “Phase space methods in finite quantum systems.” 2009. Doctoral Dissertation, University of Bradford. Accessed March 06, 2021. http://hdl.handle.net/10454/4250.

MLA Handbook (7^th Edition):

Hadhrami, Hilal Al. “Phase space methods in finite quantum systems.” 2009. Web. 06 Mar 2021.

Vancouver:

Hadhrami HA. Phase space methods in finite quantum systems. [Internet] [Doctoral dissertation]. University of Bradford; 2009. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10454/4250.

Council of Science Editors:

Hadhrami HA. Phase space methods in finite quantum systems. [Doctoral Dissertation]. University of Bradford; 2009. Available from: http://hdl.handle.net/10454/4250

4. Roshen, Jacob; Dr.Unnikrishnan, A. Development of Time - Frequency Techniques for Sonar Applications.

Degree: 2010, Cochin University of Science and Technology

URL: http://dyuthi.cusat.ac.in/purl/2677

► Sonar signal processing comprises of a large number of signal processing algorithms for implementing functions such as Target Detection, Localisation, Classification, Tracking and Parameter estimation.… (more)

Subjects/Keywords: Sonar Signal Processing; Digital Signal Processing; Time-Frequency Methods; Fractional Fourier Transform; Wigner Ville Distribution

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APA (6^th Edition):

Roshen, Jacob; Dr.Unnikrishnan, A. (2010). Development of Time - Frequency Techniques for Sonar Applications. (Thesis). Cochin University of Science and Technology. Retrieved from http://dyuthi.cusat.ac.in/purl/2677

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):

Roshen, Jacob; Dr.Unnikrishnan, A. “Development of Time - Frequency Techniques for Sonar Applications.” 2010. Thesis, Cochin University of Science and Technology. Accessed March 06, 2021. http://dyuthi.cusat.ac.in/purl/2677.

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

MLA Handbook (7^th Edition):

Roshen, Jacob; Dr.Unnikrishnan, A. “Development of Time - Frequency Techniques for Sonar Applications.” 2010. Web. 06 Mar 2021.

Vancouver:

Roshen, Jacob; Dr.Unnikrishnan A. Development of Time - Frequency Techniques for Sonar Applications. [Internet] [Thesis]. Cochin University of Science and Technology; 2010. [cited 2021 Mar 06]. Available from: http://dyuthi.cusat.ac.in/purl/2677.

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

Council of Science Editors:

Roshen, Jacob; Dr.Unnikrishnan A. Development of Time - Frequency Techniques for Sonar Applications. [Thesis]. Cochin University of Science and Technology; 2010. Available from: http://dyuthi.cusat.ac.in/purl/2677

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

NSYSU

5. Liao, Wen-hao. Constructing a Wigner-like distribution function of phase space with Mexican hat wavelet.

Degree: Master, Physics, 2008, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0122108-162358

none Advisors/Committee Members: I-Min Jiang (chair), De-Hone Lin (chair), Wang-Chuang Kuo (committee member).

Subjects/Keywords: mexican hat wavelet; wigner function

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

APA (6^th Edition):

Liao, W. (2008). Constructing a Wigner-like distribution function of phase space with Mexican hat wavelet. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0122108-162358

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):

Liao, Wen-hao. “Constructing a Wigner-like distribution function of phase space with Mexican hat wavelet.” 2008. Thesis, NSYSU. Accessed March 06, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0122108-162358.

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

MLA Handbook (7^th Edition):

Liao, Wen-hao. “Constructing a Wigner-like distribution function of phase space with Mexican hat wavelet.” 2008. Web. 06 Mar 2021.

Vancouver:

Liao W. Constructing a Wigner-like distribution function of phase space with Mexican hat wavelet. [Internet] [Thesis]. NSYSU; 2008. [cited 2021 Mar 06]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0122108-162358.

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

Council of Science Editors:

Liao W. Constructing a Wigner-like distribution function of phase space with Mexican hat wavelet. [Thesis]. NSYSU; 2008. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0122108-162358

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

Loughborough University

6. Rundle, Russell. Quantum state visualization, verification and validation via phase space methods.

Degree: PhD, 2020, Loughborough University

URL: https://doi.org/10.26174/thesis.lboro.11962620.v1 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.808068

► Since its introduction in the 1930s by Wigner, and its generalisations by Moyal and Weyl, the ability to associate an operator on Hilbert space by… (more)

Subjects/Keywords: Quantum; Quantum Information; Quantum Optics; Phase Space; Wigner Function

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APA (6^th Edition):

Rundle, R. (2020). Quantum state visualization, verification and validation via phase space methods. (Doctoral Dissertation). Loughborough University. Retrieved from https://doi.org/10.26174/thesis.lboro.11962620.v1 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.808068

Chicago Manual of Style (16^th Edition):

Rundle, Russell. “Quantum state visualization, verification and validation via phase space methods.” 2020. Doctoral Dissertation, Loughborough University. Accessed March 06, 2021. https://doi.org/10.26174/thesis.lboro.11962620.v1 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.808068.

MLA Handbook (7^th Edition):

Rundle, Russell. “Quantum state visualization, verification and validation via phase space methods.” 2020. Web. 06 Mar 2021.

Vancouver:

Rundle R. Quantum state visualization, verification and validation via phase space methods. [Internet] [Doctoral dissertation]. Loughborough University; 2020. [cited 2021 Mar 06]. Available from: https://doi.org/10.26174/thesis.lboro.11962620.v1 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.808068.

Council of Science Editors:

Rundle R. Quantum state visualization, verification and validation via phase space methods. [Doctoral Dissertation]. Loughborough University; 2020. Available from: https://doi.org/10.26174/thesis.lboro.11962620.v1 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.808068

Université de Bordeaux I

7. Arbelo Gonzalez, Wilmer. Nouvelles perspectives dans les traitements classique et semiclassique de la dynamique réactionnelle : New insights into the classical and semiclassical treatments of chemical reaction dynamics.

Degree: Docteur es, Chimie-Physique, 2013, Université de Bordeaux I

URL: http://www.theses.fr/2013BOR14668

►

La théorie de la dynamique des processus chimiques élementaires cherche à décrire quantitativement les collisions réactives à l'échelle atomique. Les mouvements des noyaux étant extrêmement… (more)

Subjects/Keywords: Dynamique réactionnelle; Approche semi-classique; Photodissociation; Distribution de Wigner; Chemical reaction dynamics; Semi-classical approach; Photodissociation; Wigner distribution function

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APA (6^th Edition):

Arbelo Gonzalez, W. (2013). Nouvelles perspectives dans les traitements classique et semiclassique de la dynamique réactionnelle : New insights into the classical and semiclassical treatments of chemical reaction dynamics. (Doctoral Dissertation). Université de Bordeaux I. Retrieved from http://www.theses.fr/2013BOR14668

Chicago Manual of Style (16^th Edition):

Arbelo Gonzalez, Wilmer. “Nouvelles perspectives dans les traitements classique et semiclassique de la dynamique réactionnelle : New insights into the classical and semiclassical treatments of chemical reaction dynamics.” 2013. Doctoral Dissertation, Université de Bordeaux I. Accessed March 06, 2021. http://www.theses.fr/2013BOR14668.

MLA Handbook (7^th Edition):

Arbelo Gonzalez, Wilmer. “Nouvelles perspectives dans les traitements classique et semiclassique de la dynamique réactionnelle : New insights into the classical and semiclassical treatments of chemical reaction dynamics.” 2013. Web. 06 Mar 2021.

Vancouver:

Arbelo Gonzalez W. Nouvelles perspectives dans les traitements classique et semiclassique de la dynamique réactionnelle : New insights into the classical and semiclassical treatments of chemical reaction dynamics. [Internet] [Doctoral dissertation]. Université de Bordeaux I; 2013. [cited 2021 Mar 06]. Available from: http://www.theses.fr/2013BOR14668.

Council of Science Editors:

Arbelo Gonzalez W. Nouvelles perspectives dans les traitements classique et semiclassique de la dynamique réactionnelle : New insights into the classical and semiclassical treatments of chemical reaction dynamics. [Doctoral Dissertation]. Université de Bordeaux I; 2013. Available from: http://www.theses.fr/2013BOR14668

8. Filippakis, Theodoros. ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER.

Degree: 1986, University of Patras; Πανεπιστήμιο Πατρών

URL: http://hdl.handle.net/10442/hedi/0006

►

THE PROBLEM OF THE NON-NEGATIVE WIGNER DISTRIBUTION FUNCTION IS STUDIED. IT HASBEEN RECOGNIZED THAT THE PROBLEM IS RELATED TO SOME RECOGNIZED CORRESPODENSE RULE. THE NEW… (more)

Subjects/Keywords: ΕΞΙΣΩΣΗ BLOCH-WIGNER; ΕΞΙΣΩΣΗ WIGNER; ΘΕΩΡΗΜΑ WIGNER; ΚΑΝΟΝΕΣ ΑΝΤΙΣΤΟΙΧΙΑΣ; ΛΙΑ ΣΥΝΑΡΤΗΣΗ WIGNER; ΜΕΤΑΣΧΗΜΑΤΙΣΜΟΣ HUSIMI; ΝΕΟΙ ΤΕΛΕΣΤΕΣ WIGNER; BLOCH-WIGNER EQUATION; CORRESPONDENSES RULE; HUSIMI TRANSFORMATION; SMOOTHED WIGNER FUNCTION; WIGNER EQUATION; WIGNER OPERATORS; WIGNER'S THEOREME

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APA (6^th Edition):

Filippakis, T. (1986). ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER. (Thesis). University of Patras; Πανεπιστήμιο Πατρών. Retrieved from http://hdl.handle.net/10442/hedi/0006

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):

Filippakis, Theodoros. “ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER.” 1986. Thesis, University of Patras; Πανεπιστήμιο Πατρών. Accessed March 06, 2021. http://hdl.handle.net/10442/hedi/0006.

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

MLA Handbook (7^th Edition):

Filippakis, Theodoros. “ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER.” 1986. Web. 06 Mar 2021.

Vancouver:

Filippakis T. ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER. [Internet] [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 1986. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10442/hedi/0006.

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

Council of Science Editors:

Filippakis T. ΘΕΩΡΙΑ ΤΟΥ ΦΑΣΙΚΟΥ ΧΩΡΟΥ ΤΗΣ ΜΗ-ΑΡΝΗΤΙΚΗΣ ΣΥΝΑΡΤΗΣΗΣ ΚΑΤΑΝΟΜΗΣ ΤΥΠΟΥ WIGNER. [Thesis]. University of Patras; Πανεπιστήμιο Πατρών; 1986. Available from: http://hdl.handle.net/10442/hedi/0006

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

University of Waterloo

9. Veitch, Victor. Negative Quasi-Probability in the Context of Quantum Computation.

Degree: 2013, University of Waterloo

URL: http://hdl.handle.net/10012/7699

► This thesis deals with the question of what resources are necessary and sufficient for quantum computational speedup. In particular, we study what resources are required… (more)

Subjects/Keywords: Quantum physics; quantum computing; quantum foundations; fault tolerant quantum computation; quasi-probability; Wigner function

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APA (6^th Edition):

Veitch, V. (2013). Negative Quasi-Probability in the Context of Quantum Computation. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/7699

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):

Veitch, Victor. “Negative Quasi-Probability in the Context of Quantum Computation.” 2013. Thesis, University of Waterloo. Accessed March 06, 2021. http://hdl.handle.net/10012/7699.

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

MLA Handbook (7^th Edition):

Veitch, Victor. “Negative Quasi-Probability in the Context of Quantum Computation.” 2013. Web. 06 Mar 2021.

Vancouver:

Veitch V. Negative Quasi-Probability in the Context of Quantum Computation. [Internet] [Thesis]. University of Waterloo; 2013. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10012/7699.

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

Council of Science Editors:

Veitch V. Negative Quasi-Probability in the Context of Quantum Computation. [Thesis]. University of Waterloo; 2013. Available from: http://hdl.handle.net/10012/7699

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

University of Cambridge

10. Fernandez, Arran. Analysis in fractional calculus and asymptotics related to zeta functions.

Degree: PhD, 2018, University of Cambridge

URL: https://doi.org/10.17863/CAM.31765 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763663

► This thesis presents results in two apparently disparate mathematical fields which can both be examined – and even united – by means of pure analysis.… (more)

▼ This thesis presents results in two apparently disparate mathematical fields which can both be examined – and even united – by means of pure analysis. Fractional calculus is the study of differentiation and integration to non-integer orders. Dating back to Leibniz, this idea was considered by many great mathematical figures, and in recent decades it has been used to model many real-world systems and processes, but a full development of the mathematical theory remains incomplete. Many techniques for partial differential equations (PDEs) can be extended to fractional PDEs too. Three chapters below cover my results in this area: establishing the elliptic regularity theorem, Malgrange-Ehrenpreis theorem, and unified transform method for fractional PDEs. Each one is analogous to a known result for classical PDEs, but the proof in the general fractional scenario requires new ideas and modifications. Fractional derivatives and integrals are not uniquely defined: there are many different formulae, each of which has its own advantages and disadvantages. The most commonly used is the classical Riemann-Liouville model, but others may be preferred in different situations, and now new fractional models are being proposed and developed each year. This creates many opportunities for new research, since each time a model is proposed, its mathematical fundamentals need to be examined and developed. Two chapters below investigate some of these new models. My results on the Atangana-Baleanu model proposed in 2016 have already had a noticeable impact on research in this area. Furthermore, this model and the results concerning it can be extended to more general fractional models which also have certain desirable properties of their own. Fractional calculus and zeta functions have rarely been united in research, but one chapter below covers a new formula expressing the Lerch zeta function as a fractional derivative of an elementary function. This result could have many ramifications in both fields, which are yet to be explored fully. Zeta functions are very important in analytic number theory: the Riemann zeta function relates to the distribution of the primes, and this field contains some of the most persistent open problems in mathematics. Since 2012, novel asymptotic techniques have been applied to derive new results on the growth of the Riemann zeta function. One chapter below modifies some of these techniques to prove asymptotics to all orders for the Hurwitz zeta function. Many new ideas are required, but the end result is more elegant than the original one for Riemann zeta, because some of the new methodologies enable different parts of the argument to be presented in a more unified way. Several related problems involve asymptotics arbitrarily near a stationary point. Ideally it should be possible to find uniform asymptotics which provide a smooth transition between the integration by parts and stationary phase methods. One chapter below solves this problem for a particular integral which arises in the analysis of zeta functions.

Subjects/Keywords: 515; fractional calculus; fractional derivatives; fractional integrals; fractional differential equations; zeta functions; asymptotic expansions; oscillatory integrals; analytic number theory; riemann zeta function; hurwitz zeta function

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APA (6^th Edition):

Fernandez, A. (2018). Analysis in fractional calculus and asymptotics related to zeta functions. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.31765 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763663

Chicago Manual of Style (16^th Edition):

Fernandez, Arran. “Analysis in fractional calculus and asymptotics related to zeta functions.” 2018. Doctoral Dissertation, University of Cambridge. Accessed March 06, 2021. https://doi.org/10.17863/CAM.31765 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763663.

MLA Handbook (7^th Edition):

Fernandez, Arran. “Analysis in fractional calculus and asymptotics related to zeta functions.” 2018. Web. 06 Mar 2021.

Vancouver:

Fernandez A. Analysis in fractional calculus and asymptotics related to zeta functions. [Internet] [Doctoral dissertation]. University of Cambridge; 2018. [cited 2021 Mar 06]. Available from: https://doi.org/10.17863/CAM.31765 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763663.

Council of Science Editors:

Fernandez A. Analysis in fractional calculus and asymptotics related to zeta functions. [Doctoral Dissertation]. University of Cambridge; 2018. Available from: https://doi.org/10.17863/CAM.31765 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.763663

University of Bradford

11. Mugassabi, Souad. Schrödinger equation with periodic potentials.

Degree: PhD, 2010, University of Bradford

URL: http://hdl.handle.net/10454/4895

► The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem of finding the eigenvectors of an infinite matrix. The… (more)

Subjects/Keywords: 530.15; Schr?dinger equation; Eigenvectors; Weyl function; Wigner function

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APA (6^th Edition):

Mugassabi, S. (2010). Schrödinger equation with periodic potentials. (Doctoral Dissertation). University of Bradford. Retrieved from http://hdl.handle.net/10454/4895

Chicago Manual of Style (16^th Edition):

Mugassabi, Souad. “Schrödinger equation with periodic potentials.” 2010. Doctoral Dissertation, University of Bradford. Accessed March 06, 2021. http://hdl.handle.net/10454/4895.

MLA Handbook (7^th Edition):

Mugassabi, Souad. “Schrödinger equation with periodic potentials.” 2010. Web. 06 Mar 2021.

Vancouver:

Mugassabi S. Schrödinger equation with periodic potentials. [Internet] [Doctoral dissertation]. University of Bradford; 2010. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10454/4895.

Council of Science Editors:

Mugassabi S. Schrödinger equation with periodic potentials. [Doctoral Dissertation]. University of Bradford; 2010. Available from: http://hdl.handle.net/10454/4895

Southern Illinois University

12. Pathak, Nimishaben Shailesh. Lyapunov-type inequality and eigenvalue estimates for fractional problems.

Degree: PhD, Mathematics, 2016, Southern Illinois University

URL: https://opensiuc.lib.siu.edu/dissertations/1249

► In this work, we establish the Lyapunov-type inequalities for the fractional boundary value problems with Hilfer derivative for different boundary conditions. We apply this… (more)

Subjects/Keywords: fractional derivative; Green’s function; Hilfer derivative; Laplace transforms; Lyapunov inequality; Mittag-Leffler function

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APA (6^th Edition):

Pathak, N. S. (2016). Lyapunov-type inequality and eigenvalue estimates for fractional problems. (Doctoral Dissertation). Southern Illinois University. Retrieved from https://opensiuc.lib.siu.edu/dissertations/1249

Chicago Manual of Style (16^th Edition):

Pathak, Nimishaben Shailesh. “Lyapunov-type inequality and eigenvalue estimates for fractional problems.” 2016. Doctoral Dissertation, Southern Illinois University. Accessed March 06, 2021. https://opensiuc.lib.siu.edu/dissertations/1249.

MLA Handbook (7^th Edition):

Pathak, Nimishaben Shailesh. “Lyapunov-type inequality and eigenvalue estimates for fractional problems.” 2016. Web. 06 Mar 2021.

Vancouver:

Pathak NS. Lyapunov-type inequality and eigenvalue estimates for fractional problems. [Internet] [Doctoral dissertation]. Southern Illinois University; 2016. [cited 2021 Mar 06]. Available from: https://opensiuc.lib.siu.edu/dissertations/1249.

Council of Science Editors:

Pathak NS. Lyapunov-type inequality and eigenvalue estimates for fractional problems. [Doctoral Dissertation]. Southern Illinois University; 2016. Available from: https://opensiuc.lib.siu.edu/dissertations/1249

NSYSU

13. Ro, Dy. Constructing a Wigner-like distribution function of phase space with Harr wavelet.

Degree: Master, Physics, 2008, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0720108-204803

none Advisors/Committee Members: I-Min Jiang (chair), Tsu-Chiang Yen (chair), De-Hone Lin (chair), Wang-Chuang Kuo (committee member).

Subjects/Keywords: Wigner function; Phase Space; wavelet; Quasi-probability Distribution

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APA (6^th Edition):

Ro, D. (2008). Constructing a Wigner-like distribution function of phase space with Harr wavelet. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0720108-204803

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):

Ro, Dy. “Constructing a Wigner-like distribution function of phase space with Harr wavelet.” 2008. Thesis, NSYSU. Accessed March 06, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0720108-204803.

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

MLA Handbook (7^th Edition):

Ro, Dy. “Constructing a Wigner-like distribution function of phase space with Harr wavelet.” 2008. Web. 06 Mar 2021.

Vancouver:

Ro D. Constructing a Wigner-like distribution function of phase space with Harr wavelet. [Internet] [Thesis]. NSYSU; 2008. [cited 2021 Mar 06]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0720108-204803.

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

Council of Science Editors:

Ro D. Constructing a Wigner-like distribution function of phase space with Harr wavelet. [Thesis]. NSYSU; 2008. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0720108-204803

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

Delft University of Technology

14. Mout, B.M. Ray-based methods for simulating aberrations and cascaded diffraction in imaging systems.

Degree: 2019, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; 1cc83547-4292-4420-b23f-036306eded0d ; 10.4233/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:isbn:978-94-028-1590-0 ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d

► To predict the quality of an optical system we need to simulate the effects of aberrations and diffraction. Aberrations can be calculated by tracing rays… (more)

Subjects/Keywords: optics; diffraction; ray tracing; Wigner distribution function

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APA (6^th Edition):

Mout, B. M. (2019). Ray-based methods for simulating aberrations and cascaded diffraction in imaging systems. (Doctoral Dissertation). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; 1cc83547-4292-4420-b23f-036306eded0d ; 10.4233/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:isbn:978-94-028-1590-0 ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d

Chicago Manual of Style (16^th Edition):

Mout, B M. “Ray-based methods for simulating aberrations and cascaded diffraction in imaging systems.” 2019. Doctoral Dissertation, Delft University of Technology. Accessed March 06, 2021. http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; 1cc83547-4292-4420-b23f-036306eded0d ; 10.4233/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:isbn:978-94-028-1590-0 ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d.

MLA Handbook (7^th Edition):

Mout, B M. “Ray-based methods for simulating aberrations and cascaded diffraction in imaging systems.” 2019. Web. 06 Mar 2021.

Vancouver:

Mout BM. Ray-based methods for simulating aberrations and cascaded diffraction in imaging systems. [Internet] [Doctoral dissertation]. Delft University of Technology; 2019. [cited 2021 Mar 06]. Available from: http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; 1cc83547-4292-4420-b23f-036306eded0d ; 10.4233/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:isbn:978-94-028-1590-0 ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d.

Council of Science Editors:

Mout BM. Ray-based methods for simulating aberrations and cascaded diffraction in imaging systems. [Doctoral Dissertation]. Delft University of Technology; 2019. Available from: http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; 1cc83547-4292-4420-b23f-036306eded0d ; 10.4233/uuid:1cc83547-4292-4420-b23f-036306eded0d ; urn:isbn:978-94-028-1590-0 ; urn:NBN:nl:ui:24-uuid:1cc83547-4292-4420-b23f-036306eded0d ; http://resolver.tudelft.nl/uuid:1cc83547-4292-4420-b23f-036306eded0d

Linköping University

15. Vikstål, Pontus. Continuous-variable quantum annealing with superconducting circuits.

Degree: Chemistry and Biology, 2018, Linköping University

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-151889

► Quantum annealing is expected to be a powerful generic algorithm for solving hard combinatorial optimization problems faster than classical computers. Finding the solution to… (more)

Subjects/Keywords: quantum annealing; adiabatic quantum computing; continuous variables; coherent states; Wigner function; superconducting circuits; Kerr-nonlinear resonator.; Physical Sciences; Fysik

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APA (6^th Edition):

Vikstål, P. (2018). Continuous-variable quantum annealing with superconducting circuits. (Thesis). Linköping University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-151889

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):

Vikstål, Pontus. “Continuous-variable quantum annealing with superconducting circuits.” 2018. Thesis, Linköping University. Accessed March 06, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-151889.

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

MLA Handbook (7^th Edition):

Vikstål, Pontus. “Continuous-variable quantum annealing with superconducting circuits.” 2018. Web. 06 Mar 2021.

Vancouver:

Vikstål P. Continuous-variable quantum annealing with superconducting circuits. [Internet] [Thesis]. Linköping University; 2018. [cited 2021 Mar 06]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-151889.

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

Council of Science Editors:

Vikstål P. Continuous-variable quantum annealing with superconducting circuits. [Thesis]. Linköping University; 2018. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-151889

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

Brno University of Technology

16. Pevný, Jindřich. Metody pro spektrální analýzu s vysokým rozlišením: Methods for high resulution spectral analysis.

Degree: 2019, Brno University of Technology

URL: http://hdl.handle.net/11012/65892

► This thesis deals with the topic of high resolution spectral analysis. In the first part, selected methods are presented and afterwards compared based on the… (more)

Subjects/Keywords: spektralni analyza; ZoomFFT; Wignerova distribucni funkce; kvadraticke casove–frekvencni distribuce; spectral analysis; ZoomFFT; Wigner distribution function; quadratic time–frequency distributions

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

APA (6^th Edition):

Pevný, J. (2019). Metody pro spektrální analýzu s vysokým rozlišením: Methods for high resulution spectral analysis. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/65892

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):

Pevný, Jindřich. “Metody pro spektrální analýzu s vysokým rozlišením: Methods for high resulution spectral analysis.” 2019. Thesis, Brno University of Technology. Accessed March 06, 2021. http://hdl.handle.net/11012/65892.

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

MLA Handbook (7^th Edition):

Pevný, Jindřich. “Metody pro spektrální analýzu s vysokým rozlišením: Methods for high resulution spectral analysis.” 2019. Web. 06 Mar 2021.

Vancouver:

Pevný J. Metody pro spektrální analýzu s vysokým rozlišením: Methods for high resulution spectral analysis. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/11012/65892.

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

Council of Science Editors:

Pevný J. Metody pro spektrální analýzu s vysokým rozlišením: Methods for high resulution spectral analysis. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/65892

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

Queensland University of Technology

17. Yang, Qianqian. Novel analytical and numerical methods for solving fractional dynamical systems.

Degree: 2010, Queensland University of Technology

URL: https://eprints.qut.edu.au/35750/

► During the past three decades, the subject of fractional calculus (that is, calculus of integrals and derivatives of arbitrary order) has gained considerable popularity and… (more)

Subjects/Keywords: Riemann-Liouville fractional derivative, Grunwald-Letnikov fractional derivative, Caputo fractional derivative, Riesz fractional derivative, fractional Laplacian, anomalous diffusion, fractional diffusion equation, fractional advection-dispersion equation; fractional Fokker-Planck equation, fractional cable equation, numerical method, stability and convergence, L1/L2-approximation, standard/shifted Grunwald method, matrix transform method, fractional method of lines, Lanczos approximation; M-Lanczos approximation, matrix functions, Mittag-Leffler function, Laplace transform of fractional derivative; ODTA

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

APA (6^th Edition):

Yang, Q. (2010). Novel analytical and numerical methods for solving fractional dynamical systems. (Thesis). Queensland University of Technology. Retrieved from https://eprints.qut.edu.au/35750/

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):

Yang, Qianqian. “Novel analytical and numerical methods for solving fractional dynamical systems.” 2010. Thesis, Queensland University of Technology. Accessed March 06, 2021. https://eprints.qut.edu.au/35750/.

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

MLA Handbook (7^th Edition):

Yang, Qianqian. “Novel analytical and numerical methods for solving fractional dynamical systems.” 2010. Web. 06 Mar 2021.

Vancouver:

Yang Q. Novel analytical and numerical methods for solving fractional dynamical systems. [Internet] [Thesis]. Queensland University of Technology; 2010. [cited 2021 Mar 06]. Available from: https://eprints.qut.edu.au/35750/.

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

Council of Science Editors:

Yang Q. Novel analytical and numerical methods for solving fractional dynamical systems. [Thesis]. Queensland University of Technology; 2010. Available from: https://eprints.qut.edu.au/35750/

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

Delft University of Technology

18. Nagda, Neel (author). Variable Fractional Order (VFO) PID Control for Precision Positioning: A Frequency Domain Approach.

Degree: 2019, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:99998698-7287-47e9-acd0-9d7cc1d78670

►

Stringent control demands from the high-tech mechatronics industry have warranted the need to explore potentially advantageous non-linear controllers. Variable Fractional Order (VFO) calculus provides one… (more)

Subjects/Keywords: PID; Variable Fractional Order calculus; Describing Function analysis; SIDF; HOSIDFs; Precision positioning

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APA (6^th Edition):

Nagda, N. (. (2019). Variable Fractional Order (VFO) PID Control for Precision Positioning: A Frequency Domain Approach. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:99998698-7287-47e9-acd0-9d7cc1d78670

Chicago Manual of Style (16^th Edition):

Nagda, Neel (author). “Variable Fractional Order (VFO) PID Control for Precision Positioning: A Frequency Domain Approach.” 2019. Masters Thesis, Delft University of Technology. Accessed March 06, 2021. http://resolver.tudelft.nl/uuid:99998698-7287-47e9-acd0-9d7cc1d78670.

MLA Handbook (7^th Edition):

Nagda, Neel (author). “Variable Fractional Order (VFO) PID Control for Precision Positioning: A Frequency Domain Approach.” 2019. Web. 06 Mar 2021.

Vancouver:

Nagda N(. Variable Fractional Order (VFO) PID Control for Precision Positioning: A Frequency Domain Approach. [Internet] [Masters thesis]. Delft University of Technology; 2019. [cited 2021 Mar 06]. Available from: http://resolver.tudelft.nl/uuid:99998698-7287-47e9-acd0-9d7cc1d78670.

Council of Science Editors:

Nagda N(. Variable Fractional Order (VFO) PID Control for Precision Positioning: A Frequency Domain Approach. [Masters Thesis]. Delft University of Technology; 2019. Available from: http://resolver.tudelft.nl/uuid:99998698-7287-47e9-acd0-9d7cc1d78670

Delft University of Technology

19. Chen, Linda (author). Development of CRONE reset control.

Degree: 2017, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:5370c610-4112-49e9-b860-9d625d5b40c5

► In high-tech industry (sub)nanometre precision motion control is essential. For example wafer scanners, used for production of integrated circuits, have to provide (sub)nanometre precision positioning… (more)

▼ In high-tech industry (sub)nanometre precision motion control is essential. For example wafer scanners, used for production of integrated circuits, have to provide (sub)nanometre precision positioning whilst satisfying challenging requirements on speed at the same time. It is in demanding cases like this that different requirements begin to conflict with each other. A fundamental trade-off between robustness and performance exists as an inevitable result of the waterbed effect in linear control. PID controllers, which have been an industry-standard for many years, do not satisfy the ever increasing demands. In this MSc thesis a novel reset control synthesis method is proposed: CRONE reset control, which combines a robust fractional CRONE controller (Commande Robuste d’Ordre Non-Entier) with non-linear reset control to overcome waterbed effect. In CRONE control, robustness is achieved against gain deviations by creation of constant phase behaviour around bandwidth with the use of fractional operators. The use of fractional operators also introduces more freedom in shaping the open- loop frequency response, allowing fractional factors in Bode’s gain-phase relation. However, waterbed effect remains, which motivates introduction of non-linear reset control in the CRONE design. In reset control, controller states are reset when the error between output- and reference- signal is zero. In frequency domain, using describing function analysis it is predicted that reset filters generate less phase lag for similar gain behaviour. For instance, a reset integrator gives a phase lag of about 38 degrees, which is 52 degrees less compared to the linear integrator. This allows for relief from Bode’s gain-phase relation, breaking aforementioned trade-offs. In the new controller design, reset phase advantage is approximated using describing function analysis and used to achieve better open-loop shape. New design rules for CRONE reset control have been developed in this thesis. Three different reset control strategies have been investigated: integrator reset, lag reset and lead- lag/lag-lead reset. For these controllers, a two-degree-of-freedom non-linearity tuning CRONE reset control structure has been developed. This control structure has been implemented digitally within a MATLAB/Simulink environment on a Lorentz-actuated (dual) precision stage via a real-time dSPACE DS1103 controller interface. For the implemented controllers sufficient quadratic stability has been shown using the Hβ-condition. It has been shown that simulated frequency responses using describing function correspond well to experimental identified frequency responses. Moreover, frequency domain measurements have shown that better performance for CRONE reset control can be achieved for same phase margin compared to linear CRONE. Relief from both waterbed effect and Bode’s gain-phase relation has been accomplished. Furthermore, for the same bandwidth, average noise reduction between 1.79dB and 3.93dB has been attained at a number of distinct… Advisors/Committee Members: Saikumar, Niranjan (mentor), Hossein Nia Kani, Hassan (mentor), Baldi, Simone (mentor), van Wingerden, Jan-Willem (graduation committee), Delft University of Technology (degree granting institution).

Subjects/Keywords: reset control; describing function analysis; loop shaping; fractional order control; CRONE; robust control; precision positioning

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

APA (6^th Edition):

Chen, L. (. (2017). Development of CRONE reset control. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:5370c610-4112-49e9-b860-9d625d5b40c5

Chicago Manual of Style (16^th Edition):

Chen, Linda (author). “Development of CRONE reset control.” 2017. Masters Thesis, Delft University of Technology. Accessed March 06, 2021. http://resolver.tudelft.nl/uuid:5370c610-4112-49e9-b860-9d625d5b40c5.

MLA Handbook (7^th Edition):

Chen, Linda (author). “Development of CRONE reset control.” 2017. Web. 06 Mar 2021.

Vancouver:

Chen L(. Development of CRONE reset control. [Internet] [Masters thesis]. Delft University of Technology; 2017. [cited 2021 Mar 06]. Available from: http://resolver.tudelft.nl/uuid:5370c610-4112-49e9-b860-9d625d5b40c5.

Council of Science Editors:

Chen L(. Development of CRONE reset control. [Masters Thesis]. Delft University of Technology; 2017. Available from: http://resolver.tudelft.nl/uuid:5370c610-4112-49e9-b860-9d625d5b40c5

University of South Florida

20. Pedjeu, Jean-Claude. Multi-time Scales Stochastic Dynamic Processes: Modeling, Methods, Algorithms, Analysis, and Applications.

Degree: 2012, University of South Florida

URL: https://scholarcommons.usf.edu/etd/4383

► By introducing a concept of dynamic process operating under multi-time scales in sciences and engineering, a mathematical model is formulated and it leads to a… (more)

Subjects/Keywords: fractional integrals and derivatives; Lyapunov function; numerical algorithms; stochastic differential equations; Mathematics; Statistics and Probability

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APA (6^th Edition):

Pedjeu, J. (2012). Multi-time Scales Stochastic Dynamic Processes: Modeling, Methods, Algorithms, Analysis, and Applications. (Thesis). University of South Florida. Retrieved from https://scholarcommons.usf.edu/etd/4383

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):

Pedjeu, Jean-Claude. “Multi-time Scales Stochastic Dynamic Processes: Modeling, Methods, Algorithms, Analysis, and Applications.” 2012. Thesis, University of South Florida. Accessed March 06, 2021. https://scholarcommons.usf.edu/etd/4383.

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

MLA Handbook (7^th Edition):

Pedjeu, Jean-Claude. “Multi-time Scales Stochastic Dynamic Processes: Modeling, Methods, Algorithms, Analysis, and Applications.” 2012. Web. 06 Mar 2021.

Vancouver:

Pedjeu J. Multi-time Scales Stochastic Dynamic Processes: Modeling, Methods, Algorithms, Analysis, and Applications. [Internet] [Thesis]. University of South Florida; 2012. [cited 2021 Mar 06]. Available from: https://scholarcommons.usf.edu/etd/4383.

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

Council of Science Editors:

Pedjeu J. Multi-time Scales Stochastic Dynamic Processes: Modeling, Methods, Algorithms, Analysis, and Applications. [Thesis]. University of South Florida; 2012. Available from: https://scholarcommons.usf.edu/etd/4383

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

21. Bougacha, Salma. High frequency oscillations in bounded elastic media : Oscillations haute fréquence en milieux élastiques bornés.

Degree: Docteur es, Mathématiques appliquées, 2010, Evry-Val d'Essonne

URL: http://www.theses.fr/2010EVRY0047

►

Cette thèse est consacrée à l’étude haute fréquence de problèmes de Dirichlet et Neumann pour le système de l’élasticité. On y étudie le phénomène de… (more)

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Cette thèse est consacrée à l’étude haute fréquence de problèmes de Dirichlet et Neumann pour le système de l’élasticité. On y étudie le phénomène de réflexion au bord au moyen de deux techniques : la sommation de faisceaux gaussiens et les mesures de Wigner. Dans les chapitres 1 et 2, on commence par étudier le problème plus simple de l’équation des ondes scalaire à une vitesse. Sous certaines hypothèses sur les conditions initiales, on construit des solutions approchées par superposition de faisceaux gaussiens. La justification de l’asymptotique se fonde sur une estimation de normes de certains opérateurs intégraux à phases complexes. Pour des conditions initiales plus générales, on utilise les mesures de Wigner pour calculer la densité d’énergie microlocale. On calcule explicitement les transformées de Wigner d’intégrales de faisceaux gaussiens. Le comportement de la densité d’énergie microlocale de la solution exacte se déduit de celui établi pour la solution approchée. Dans le chapitre 3, on utilise les résultats établis pour les sommes infinies de faisceaux gaussiens pour construire une solution approchée pour les équations de l’élasticité et calculer sa densité d’énergie microlocale. L’existence de deux vitesses différentes dans le système de l’élasticité introduit de nouvelles difficultés qui sont traitées dans ce chapitre.

This thesis is devoted to the study of the high frequency Dirichlet and Neumann problems for the elasticity system. We study the reflection phenomenon at the boundary by means of two techniques: Gaussian beams summation and Wigner measures. In chapters 1 and 2, we start by studying the simpler problem of the scalar wave equation with one speed. Under some hypotheses on the initial conditions, we build an approximate solution by a Gaussian beams superposition. Justification of the asymptotics is based on norms estimate of some integral operators with complex phases. For more general initial conditions, we use Wigner measures to compute the microlocal energy density. We compute Wigner transforms of Gaussian beams integrals in an explicit way. The behaviour of the microlocal energy density for the exact solution is deduced from the one for the approximate solution. In chapter 3, we use the established results on infinite sums of Gaussian beams to build an approximate solution for the elasticity equations and to compute its microlocal energy density. We treat new difficulties arising from the existence of two different speeds in the elasticity system.

Advisors/Committee Members: Alexandre, Radjesvarane (thesis director), Akian, Jean-Luc (thesis director).

Subjects/Keywords: Mesure de Wigner

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

APA (6^th Edition):

Bougacha, S. (2010). High frequency oscillations in bounded elastic media : Oscillations haute fréquence en milieux élastiques bornés. (Doctoral Dissertation). Evry-Val d'Essonne. Retrieved from http://www.theses.fr/2010EVRY0047

Chicago Manual of Style (16^th Edition):

Bougacha, Salma. “High frequency oscillations in bounded elastic media : Oscillations haute fréquence en milieux élastiques bornés.” 2010. Doctoral Dissertation, Evry-Val d'Essonne. Accessed March 06, 2021. http://www.theses.fr/2010EVRY0047.

MLA Handbook (7^th Edition):

Bougacha, Salma. “High frequency oscillations in bounded elastic media : Oscillations haute fréquence en milieux élastiques bornés.” 2010. Web. 06 Mar 2021.

Vancouver:

Bougacha S. High frequency oscillations in bounded elastic media : Oscillations haute fréquence en milieux élastiques bornés. [Internet] [Doctoral dissertation]. Evry-Val d'Essonne; 2010. [cited 2021 Mar 06]. Available from: http://www.theses.fr/2010EVRY0047.

Council of Science Editors:

Bougacha S. High frequency oscillations in bounded elastic media : Oscillations haute fréquence en milieux élastiques bornés. [Doctoral Dissertation]. Evry-Val d'Essonne; 2010. Available from: http://www.theses.fr/2010EVRY0047

22. Oliva, Maxime. The quantum Wigner current : a geometric approach to quantum dynamics in phase space.

Degree: PhD, 2019, University of Hertfordshire

URL: http://hdl.handle.net/2299/22363

► Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when… (more)

▼ Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when it comes to studying chaos theory and statistical mechanics. After the advent of quantum physics early in the 20th century, E. Wigner [91], J. E. Moyal [62] and H. J. Groenewold [31] introduce a quantum theory in phase space. Despite the apparent added complexity of the mathematics involved in this new framework, the underlying classical and quantum equations show many similarities. The probability distribution in classical physics becomes the Wigner distribution, a probability distribution usually featuring negative values. In 2013, O. Steuernagel and D. Kakofengitis, inspired by the work of H. Bauke [7] and E. Wigner [91], identified the quantum analogue of the classical phase space flow: the Wigner current J [83]. This Wigner current allows the visualisation of quantum dynamics through a quantum fluid dynamics perspective in phase space. This thesis is written by collection of five articles. They are prefaced by an introduction into the basics of quantum phase space theory and its link with both classical phase space dynamics and the standard Schrödinger approach, followed by the articles published during this PhD. Article 1 shows the importance of the integral form of the Wigner current. We use it to derive the Ehrenfest’s theorem, as well as to refute some propositions made within the community. Article 2 shows that, using the Wigner current, an Eulerian and Lagrangian point of view do not always give the same results for the quantum case. We demonstrate that the negativities of the Wigner distribution, sign of quantumness of the system, are created by the Wigner velocity field singularities. The Wigner velocity field is the quantum analogue of the classical phase space velocity field. In Article 3, we see that even though Wigner distributions of quantum systems feature spotty structures which saturate on scales ɑZ [97], the construction of a superoscillating Wigner distribution allows one to generate much smaller structures, of the order of ɑZ /α with α a positive constant potentially very large. In Article 4, we introduce the concept of quantum shear suppression in phase space. The Wigner current features an effective quantum “viscosity”, suppressing classical dynamics fine details. This viscosity is the mechanism by which the Zurek scale is enforced dynamically onto the state in phase space. In Article 5, we apply the previous ideas to Kerr-type oscillators. Its Wigner current is derived, and using it we show that its values are conserved on a ring during the time evolution of the Kerr oscillator. The shear suppression is also studied.

Subjects/Keywords: Quantum; phase; space; theory; theoretical; physics; superoscillations; schrodinger; wigner; function; distribution; negative; probability; viscosity; fluid; mechanics; stagnation; topology; integral; moyal; groenewold; oliva; steuernagel; kakofengitis; feynman; Zurek; Planck; Structures; Scale; trajectory

Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Oliva, M. (2019). The quantum Wigner current : a geometric approach to quantum dynamics in phase space. (Doctoral Dissertation). University of Hertfordshire. Retrieved from http://hdl.handle.net/2299/22363

Chicago Manual of Style (16^th Edition):

Oliva, Maxime. “The quantum Wigner current : a geometric approach to quantum dynamics in phase space.” 2019. Doctoral Dissertation, University of Hertfordshire. Accessed March 06, 2021. http://hdl.handle.net/2299/22363.

MLA Handbook (7^th Edition):

Oliva, Maxime. “The quantum Wigner current : a geometric approach to quantum dynamics in phase space.” 2019. Web. 06 Mar 2021.

Vancouver:

Oliva M. The quantum Wigner current : a geometric approach to quantum dynamics in phase space. [Internet] [Doctoral dissertation]. University of Hertfordshire; 2019. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2299/22363.

Council of Science Editors:

Oliva M. The quantum Wigner current : a geometric approach to quantum dynamics in phase space. [Doctoral Dissertation]. University of Hertfordshire; 2019. Available from: http://hdl.handle.net/2299/22363

23. Oliva, Maxime. The quantum Wigner current : a geometric approach to quantum dynamics in phase space.

Degree: PhD, 2019, University of Hertfordshire

URL: https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947

► Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when… (more)

▼ Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when it comes to studying chaos theory and statistical mechanics. After the advent of quantum physics early in the 20th century, E. Wigner [91], J. E. Moyal [62] and H. J. Groenewold [31] introduce a quantum theory in phase space. Despite the apparent added complexity of the mathematics involved in this new framework, the underlying classical and quantum equations show many similarities. The probability distribution in classical physics becomes the Wigner distribution, a probability distribution usually featuring negative values. In 2013, O. Steuernagel and D. Kakofengitis, inspired by the work of H. Bauke [7] and E. Wigner [91], identified the quantum analogue of the classical phase space flow: the Wigner current J [83]. This Wigner current allows the visualisation of quantum dynamics through a quantum fluid dynamics perspective in phase space. This thesis is written by collection of five articles. They are prefaced by an introduction into the basics of quantum phase space theory and its link with both classical phase space dynamics and the standard Schrödinger approach, followed by the articles published during this PhD. Article 1 shows the importance of the integral form of the Wigner current. We use it to derive the Ehrenfest’s theorem, as well as to refute some propositions made within the community. Article 2 shows that, using the Wigner current, an Eulerian and Lagrangian point of view do not always give the same results for the quantum case. We demonstrate that the negativities of the Wigner distribution, sign of quantumness of the system, are created by the Wigner velocity field singularities. The Wigner velocity field is the quantum analogue of the classical phase space velocity field. In Article 3, we see that even though Wigner distributions of quantum systems feature spotty structures which saturate on scales ɑZ [97], the construction of a superoscillating Wigner distribution allows one to generate much smaller structures, of the order of ɑZ /α with α a positive constant potentially very large. In Article 4, we introduce the concept of quantum shear suppression in phase space. The Wigner current features an effective quantum “viscosity”, suppressing classical dynamics fine details. This viscosity is the mechanism by which the Zurek scale is enforced dynamically onto the state in phase space. In Article 5, we apply the previous ideas to Kerr-type oscillators. Its Wigner current is derived, and using it we show that its values are conserved on a ring during the time evolution of the Kerr oscillator. The shear suppression is also studied.

Subjects/Keywords: Quantum; phase; space; theory; theoretical; physics; superoscillations; schrodinger; wigner; function; distribution; negative; probability; viscosity; fluid; mechanics; stagnation; topology; integral; moyal; groenewold; oliva; steuernagel; kakofengitis; feynman; Zurek; Planck; Structures; Scale; trajectory

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Oliva, M. (2019). The quantum Wigner current : a geometric approach to quantum dynamics in phase space. (Doctoral Dissertation). University of Hertfordshire. Retrieved from https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947

Chicago Manual of Style (16^th Edition):

Oliva, Maxime. “The quantum Wigner current : a geometric approach to quantum dynamics in phase space.” 2019. Doctoral Dissertation, University of Hertfordshire. Accessed March 06, 2021. https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947.

MLA Handbook (7^th Edition):

Oliva, Maxime. “The quantum Wigner current : a geometric approach to quantum dynamics in phase space.” 2019. Web. 06 Mar 2021.

Vancouver:

Oliva M. The quantum Wigner current : a geometric approach to quantum dynamics in phase space. [Internet] [Doctoral dissertation]. University of Hertfordshire; 2019. [cited 2021 Mar 06]. Available from: https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947.

Council of Science Editors:

Oliva M. The quantum Wigner current : a geometric approach to quantum dynamics in phase space. [Doctoral Dissertation]. University of Hertfordshire; 2019. Available from: https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947

24. Qiu, Lei. Exploring 2D Metal-Insulator Transition in p-GaAs Quantum Well with High rs.

Degree: PhD, Physics, 2014, Case Western Reserve University School of Graduate Studies

URL: http://rave.ohiolink.edu/etdc/view?acc_num=case1386337954

► This thesis consists of four main parts. The first part introduces the history of the concept of a Wigner crystal and recent theoretical developments based… (more)

Subjects/Keywords: Physics; Low Temperature Physics; Experiments; Condensed Matter Physics; Condensed matter physics; Low temperature physics; Strongly correlated electrons; GaAs quantum well; 2DHG; Wigner solid; Fermi liquid; Integer quantum Hall effect; Fractional quantum Hall effect; Micro-emulsion phases; 2D metal-insulator transition

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

APA (6^th Edition):

Qiu, L. (2014). Exploring 2D Metal-Insulator Transition in p-GaAs Quantum Well with High rs. (Doctoral Dissertation). Case Western Reserve University School of Graduate Studies. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=case1386337954

Chicago Manual of Style (16^th Edition):

Qiu, Lei. “Exploring 2D Metal-Insulator Transition in p-GaAs Quantum Well with High rs.” 2014. Doctoral Dissertation, Case Western Reserve University School of Graduate Studies. Accessed March 06, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=case1386337954.

MLA Handbook (7^th Edition):

Qiu, Lei. “Exploring 2D Metal-Insulator Transition in p-GaAs Quantum Well with High rs.” 2014. Web. 06 Mar 2021.

Vancouver:

Qiu L. Exploring 2D Metal-Insulator Transition in p-GaAs Quantum Well with High rs. [Internet] [Doctoral dissertation]. Case Western Reserve University School of Graduate Studies; 2014. [cited 2021 Mar 06]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=case1386337954.

Council of Science Editors:

Qiu L. Exploring 2D Metal-Insulator Transition in p-GaAs Quantum Well with High rs. [Doctoral Dissertation]. Case Western Reserve University School of Graduate Studies; 2014. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=case1386337954

Univerzitet u Beogradu

25. Malešević, Marija P. 1975-. Multikriterijumski pristup modelovanja HPLC metode za određivanje zolpidem-tartarata i degradacionih proizvoda.

Degree: Farmaceutski fakultet, 2013, Univerzitet u Beogradu

URL: https://fedorabg.bg.ac.rs/fedora/get/o:5449/bdef:Content/get

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Farmaceutske nauke - Analitika lekova / Pharmaceutical sciences - Drug analysis

Zolpidem tartarat je nebenzodijazepinski sedativ i hipnotik, koji se koristi za kratkotrajnu terapiju nesanice.… (more)

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Farmaceutske nauke - Analitika lekova / Pharmaceutical sciences - Drug analysis

Zolpidem tartarat je nebenzodijazepinski sedativ i hipnotik, koji se koristi za kratkotrajnu terapiju nesanice. Njegovi efekti se manifestuju vezivanjem za benzodiazepinsko vezujuće mesto na GABAA receptoru u CNS-u. Zolpidem baza, koji farmaceutski aktivan deo molekula, podleže laganoj hidrolizi u kiselim i baznim rastvorima usled nestabilnosti tercijarne amidne funkcionalne grupe prisutne u njegovoj strukturi. Proizvodi ove hidrolize su zolpacid i dimetilamin. Oksozolpidem, zolpiridin i zolpaldehid su takoñe potencijalni degradacioni proizvodi zolpidem-tartarata. Kako prisustvo degradacionih proizvoda može da utiče na hemijske, farmaceutske i toksikološke osobine doziranog oblika, prema ICH smernicama moraju da se ispituju sve nečistoće prisutne u doziranom obliku u količini većoj od 0.1%. Zbog toga je razvijena nova, brza RP-HPLC metoda za odreñivanje zolpidem-tartarata i ključnih degradacionih proizvoda. Kako na hromatografsko ponašanje analiziranih supstanci mogu da utiču različiti eksperimentalni faktori odlučeno je da se razvoj i optimizacija metode sprovedu uz pomoć eksperimentalnog dizajna. Frakcioni faktorski dizajn je korišćen da se detektuju sve promenljive koje značajno utiču na hromatografsku metodu, centralni kompozicioni dizajn je korišćen za optimizaciju tih promenljivih, a multikriterijumski princip odlučivanja u formi Deringerove funkcije je primenjen za postizanje odgovarajućeg kompromisa izmeñu različitih hromatografskih ciljeva, kao što su zadovoljavajuća rezolucija izmeñu svih ispitivanih supstanci uz najkraće moguće trajanje hromatografske analize. Nakon toga, metoda je uspešno validirana u skladu sa ICH smernicama i primenjena za ispitivanje komercijalno dostupnih zolpidem-tartarat film-tableta. Kako je pregled literature pokazao nedostatak informacija o degradacionom mehanizmu zolpidem-tartarata, sledeći cilj ovog rada je bio da se ispita stabilnost zolpidem-tartarata i mogućnost nastajanja novih degradacionih proizvoda, sprovoñenjem studije forsirane degradacije sa aktivnom supstancom zolpidem tartaratom i farmaceutskim doziranim oblikom zolpidem-tartarat film-tabletama, što bi omogućilo identifikovanje potencijalnih degradacionih proizvoda i posledično utvrñivanje degradacionog puta i sveobuhvatne stabilnosti leka...

Advisors/Committee Members: Živanović, Ljiljana, 1947-.

Subjects/Keywords: Zolpidem tartrate; Liquid chromatography; Fractional factorial design; Central composite design; Derringer’s desirability function; Forced degradation; Degradation products; LC–MS

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

APA (6^th Edition):

Malešević, M. P. 1. (2013). Multikriterijumski pristup modelovanja HPLC metode za određivanje zolpidem-tartarata i degradacionih proizvoda. (Thesis). Univerzitet u Beogradu. Retrieved from https://fedorabg.bg.ac.rs/fedora/get/o:5449/bdef:Content/get

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):

Malešević, Marija P 1975-. “Multikriterijumski pristup modelovanja HPLC metode za određivanje zolpidem-tartarata i degradacionih proizvoda.” 2013. Thesis, Univerzitet u Beogradu. Accessed March 06, 2021. https://fedorabg.bg.ac.rs/fedora/get/o:5449/bdef:Content/get.

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

MLA Handbook (7^th Edition):

Malešević, Marija P 1975-. “Multikriterijumski pristup modelovanja HPLC metode za određivanje zolpidem-tartarata i degradacionih proizvoda.” 2013. Web. 06 Mar 2021.

Vancouver:

Malešević MP1. Multikriterijumski pristup modelovanja HPLC metode za određivanje zolpidem-tartarata i degradacionih proizvoda. [Internet] [Thesis]. Univerzitet u Beogradu; 2013. [cited 2021 Mar 06]. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:5449/bdef:Content/get.

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

Council of Science Editors:

Malešević MP1. Multikriterijumski pristup modelovanja HPLC metode za određivanje zolpidem-tartarata i degradacionih proizvoda. [Thesis]. Univerzitet u Beogradu; 2013. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:5449/bdef:Content/get

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

University of Illinois – Urbana-Champaign

26. Li, Jun. Fractals in mechanics of materials.

Degree: PhD, 0133, 2013, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/42173

► Fractal concepts have been used in geometric characterizations as well as models of various material microstructures and deformation patterns. The first part of this dissertation… (more)

▼ Fractal concepts have been used in geometric characterizations as well as models of various material microstructures and deformation patterns. The first part of this dissertation studies fractal patterns of plastic regions observed in elastoplastic deformations. As a paradigm, we focus on a random material model with microscale randomness in material properties. When it is subjected to increasing macroscopically uniform loadings, plasticized grains form fractal patterns gradually filling the entire material domain and the sharp kink in the conventional stress-strain curve is replaced by a smooth one. Parametric studies are performed to investigate qualitative influences of material constants or randomness on the elastic-plastic transitions. Following scaling analysis in phase transition theory, we recognize three order parameters in terms of stress-strain, fractal dimension, and plastic volume fraction, which, for the first time, are quantitatively related through proposed scaling functions. A broad range of materials are studied, especially the widely used von Mises models for metals and Mohr-Coulomb models for rocks and soils. Polycrystals and thermo-elasto-plastic materials are also investigated. The fractal character of many porous materials motivates the second part of this dissertation: theoretical modeling of fractally microstructured materials. Using dimensional regularization techniques, a fractional integral is introduced to reflect the mass scaling on fractals. We propose a product measure consistent with generally anisotropic fractals and also simplify previous formulations from decoupling of coordinate variables. Two continuum models are developed – the classical continuum and the micropolar continuum – whereby a consistency of mechanical with variational approaches verifies our formulations. Also, some elastodynamic problems are studied. Finally, we conduct two application case studies: Saturn’s rings and bone microstructures. Their fractal dimensions are measured from public NASA images and our micro-computed tomography (Micro-CT) images, respectively. The values indicate important invariable properties. Advisors/Committee Members: Ostoja-Starzewski, Martin (advisor), Ostoja-Starzewski, Martin (Committee Chair), Jasiuk, Iwona M. (committee member), DeVille, Robert E. (committee member), Dahmen, Karin A. (committee member), Hubler, Alfred W. (committee member).

Subjects/Keywords: Fractal; Fractal dimension; Elastic-plastic transition; Random materials; Scaling function; Shear band; Fractional calculus; Micropolar continuum mechanics

Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Li, J. (2013). Fractals in mechanics of materials. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/42173

Chicago Manual of Style (16^th Edition):

Li, Jun. “Fractals in mechanics of materials.” 2013. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed March 06, 2021. http://hdl.handle.net/2142/42173.

MLA Handbook (7^th Edition):

Li, Jun. “Fractals in mechanics of materials.” 2013. Web. 06 Mar 2021.

Vancouver:

Li J. Fractals in mechanics of materials. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2013. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/2142/42173.

Council of Science Editors:

Li J. Fractals in mechanics of materials. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2013. Available from: http://hdl.handle.net/2142/42173

University of Kansas

27. Hu, Guannan. Fractional Diffusion in Gaussian Noisy Environment.

Degree: PhD, Mathematics, 2015, University of Kansas

URL: http://hdl.handle.net/1808/21696

► Three types of stochastic partial differential equations are studied in this dissertation. We prove the existence and uniqueness of the solutions and obtain some properties… (more)

Subjects/Keywords: Mathematics; chaos expansion; Fox's H-function;

Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Hu, G. (2015). Fractional Diffusion in Gaussian Noisy Environment. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/21696

Chicago Manual of Style (16^th Edition):

Hu, Guannan. “Fractional Diffusion in Gaussian Noisy Environment.” 2015. Doctoral Dissertation, University of Kansas. Accessed March 06, 2021. http://hdl.handle.net/1808/21696.

MLA Handbook (7^th Edition):

Hu, Guannan. “Fractional Diffusion in Gaussian Noisy Environment.” 2015. Web. 06 Mar 2021.

Vancouver:

Hu G. Fractional Diffusion in Gaussian Noisy Environment. [Internet] [Doctoral dissertation]. University of Kansas; 2015. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/1808/21696.

Council of Science Editors:

Hu G. Fractional Diffusion in Gaussian Noisy Environment. [Doctoral Dissertation]. University of Kansas; 2015. Available from: http://hdl.handle.net/1808/21696

28. Žigić Miodrag. Oscilacije konstrukcije sa pasivnim prigušivačima frakcionog tipa i suvim trenjem pri seizmičkom dejstvu.

Degree: 2012, University of Novi Sad

URL: https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77637&fileName=disertacija.pdf&id=357&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=77637&source=OATD&language=en ; http://dx.doi.org/10.2298/NS20120113ZIGIC ; http://vbs.rs/scripts/cobiss?command=SEARCH&base=99999&select=ID=270605831

►

Proučeno je oscilatorno kretanje i disipacija energije stuba napravljenog od nekoliko krutih blokova, koji pri horizontalnom seizmičkom dejstvu mogu da klize jedan po drugom.… (more)

Subjects/Keywords: Seizmički odgovor, oscilacije, frakcioni izvod, viskoelastičnost, trenje, neglatka viševrednosna funkcija; Seismic response, vibrations, fractional derivative, viscoelasticity, friction, set valued function

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

APA (6^th Edition):

Miodrag, �. (2012). Oscilacije konstrukcije sa pasivnim prigušivačima frakcionog tipa i suvim trenjem pri seizmičkom dejstvu. (Thesis). University of Novi Sad. Retrieved from https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77637&fileName=disertacija.pdf&id=357&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=77637&source=OATD&language=en ; http://dx.doi.org/10.2298/NS20120113ZIGIC ; http://vbs.rs/scripts/cobiss?command=SEARCH&base=99999&select=ID=270605831

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):

Miodrag, Žigić. “Oscilacije konstrukcije sa pasivnim prigušivačima frakcionog tipa i suvim trenjem pri seizmičkom dejstvu.” 2012. Thesis, University of Novi Sad. Accessed March 06, 2021. https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77637&fileName=disertacija.pdf&id=357&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=77637&source=OATD&language=en ; http://dx.doi.org/10.2298/NS20120113ZIGIC ; http://vbs.rs/scripts/cobiss?command=SEARCH&base=99999&select=ID=270605831.

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

MLA Handbook (7^th Edition):

Miodrag, Žigić. “Oscilacije konstrukcije sa pasivnim prigušivačima frakcionog tipa i suvim trenjem pri seizmičkom dejstvu.” 2012. Web. 06 Mar 2021.

Vancouver:

Miodrag �. Oscilacije konstrukcije sa pasivnim prigušivačima frakcionog tipa i suvim trenjem pri seizmičkom dejstvu. [Internet] [Thesis]. University of Novi Sad; 2012. [cited 2021 Mar 06]. Available from: https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77637&fileName=disertacija.pdf&id=357&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=77637&source=OATD&language=en ; http://dx.doi.org/10.2298/NS20120113ZIGIC ; http://vbs.rs/scripts/cobiss?command=SEARCH&base=99999&select=ID=270605831.

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

Council of Science Editors:

Miodrag �. Oscilacije konstrukcije sa pasivnim prigušivačima frakcionog tipa i suvim trenjem pri seizmičkom dejstvu. [Thesis]. University of Novi Sad; 2012. Available from: https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)77637&fileName=disertacija.pdf&id=357&source=OATD&language=en ; https://www.cris.uns.ac.rs/record.jsf?recordId=77637&source=OATD&language=en ; http://dx.doi.org/10.2298/NS20120113ZIGIC ; http://vbs.rs/scripts/cobiss?command=SEARCH&base=99999&select=ID=270605831

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

University of North Texas

29. Moazzezi, Mojtaba. Quantum Coherence Effects Coupled via Plasmons.

Degree: 2018, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc1404550/

► This thesis is an attempt at studying quantum coherence effects coupled via plasmons. After introducing the quantum coherence in atomic systems in Chapter 1, we… (more)

Subjects/Keywords: Quantum Coherence; Quantum Optics; Bi-exponential Decay; Second Correlation Function; Physics, Optics; Physics, Atomic; Physics, Molecular

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

APA (6^th Edition):

Moazzezi, M. (2018). Quantum Coherence Effects Coupled via Plasmons. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc1404550/

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):

Moazzezi, Mojtaba. “Quantum Coherence Effects Coupled via Plasmons.” 2018. Thesis, University of North Texas. Accessed March 06, 2021. https://digital.library.unt.edu/ark:/67531/metadc1404550/.

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

MLA Handbook (7^th Edition):

Moazzezi, Mojtaba. “Quantum Coherence Effects Coupled via Plasmons.” 2018. Web. 06 Mar 2021.

Vancouver:

Moazzezi M. Quantum Coherence Effects Coupled via Plasmons. [Internet] [Thesis]. University of North Texas; 2018. [cited 2021 Mar 06]. Available from: https://digital.library.unt.edu/ark:/67531/metadc1404550/.

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

Council of Science Editors:

Moazzezi M. Quantum Coherence Effects Coupled via Plasmons. [Thesis]. University of North Texas; 2018. Available from: https://digital.library.unt.edu/ark:/67531/metadc1404550/

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

30. Zhao, Jiashu. Term Association Modelling in Information Retrieval.

Degree: PhD, Computer Science, 2015, York University

URL: http://hdl.handle.net/10315/30082

► Many traditional Information Retrieval (IR) models assume that query terms are independent of each other. For those models, a document is normally represented as a… (more)

▼ Many traditional Information Retrieval (IR) models assume that query terms are independent of each other. For those models, a document is normally represented as a bag of words/terms and their frequencies. Although traditional retrieval models can achieve reasonably good performance in many applications, the corresponding independence assumption has limitations. There are some recent studies that investigate how to model term associations/dependencies by proximity measures. However, the modeling of term associations theoretically under the probabilistic retrieval framework is still largely unexplored. In this thesis, I propose a new concept named Cross Term, to model term proximity, with the aim of boosting retrieval performance. With Cross Terms, the association of multiple query terms can be modeled in the same way as a simple unigram term. In particular, an occurrence of a query term is assumed to have an impact on its neighboring text. The degree of the query term impact gradually weakens with increasing distance from the place of occurrence. Shape functions are used to characterize such impacts. Based on this assumption, I first propose a bigram CRoss TErm Retrieval (CRTER2) model for probabilistic IR and a Language model based model CRTER2LM. Specifically, a bigram Cross Term occurs when the corresponding query terms appear close to each other, and its impact can be modeled by the intersection of the respective shape functions of the query terms. Second, I propose a generalized n-gram CRoss TErm Retrieval (CRTERn) model recursively for n query terms where n>2. For n-gram Cross Term, I develop several distance metrics with different properties and employ them in the proposed models for ranking. Third, an enhanced context-sensitive proximity model is proposed to boost the CRTER models, where the contextual relevance of term proximity is studied. The models are validated on several large standard data sets, and show improved performance over other state-of-art approaches. I also discusse the practical impact of the proposed models. The approaches in this thesis can also provide helpful benefit for term association modeling in other domains. Advisors/Committee Members: Huang, Xiangji (advisor).

Subjects/Keywords: Computer science; Information Retrieval; Term Association; Context-sensitive; Bi-gram; N-gram; Search; Proximity; Kernel Function; Indexing; Experimentation; modeling

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

APA (6^th Edition):

Zhao, J. (2015). Term Association Modelling in Information Retrieval. (Doctoral Dissertation). York University. Retrieved from http://hdl.handle.net/10315/30082

Chicago Manual of Style (16^th Edition):

Zhao, Jiashu. “Term Association Modelling in Information Retrieval.” 2015. Doctoral Dissertation, York University. Accessed March 06, 2021. http://hdl.handle.net/10315/30082.

MLA Handbook (7^th Edition):

Zhao, Jiashu. “Term Association Modelling in Information Retrieval.” 2015. Web. 06 Mar 2021.

Vancouver:

Zhao J. Term Association Modelling in Information Retrieval. [Internet] [Doctoral dissertation]. York University; 2015. [cited 2021 Mar 06]. Available from: http://hdl.handle.net/10315/30082.

Council of Science Editors:

Zhao J. Term Association Modelling in Information Retrieval. [Doctoral Dissertation]. York University; 2015. Available from: http://hdl.handle.net/10315/30082

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Open Access Theses and Dissertations