subject:(Perturbation Theory)

University of Alberta

1. Dowling, Matthew E. High Order Corrections to Fundamental Constants.

Degree: PhD, Department of Physics, 2012, University of Alberta

URL: https://era.library.ualberta.ca/files/8623j0109

► This thesis explores the determination of a few of the fundamental constants of the standard model by employing different methods than those historically used. Modern… (more)

Subjects/Keywords: Atomic corrections; Perturbation theory; Phenomenology

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APA (6^th Edition):

Dowling, M. E. (2012). High Order Corrections to Fundamental Constants. (Doctoral Dissertation). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/8623j0109

Chicago Manual of Style (16^th Edition):

Dowling, Matthew E. “High Order Corrections to Fundamental Constants.” 2012. Doctoral Dissertation, University of Alberta. Accessed April 18, 2021. https://era.library.ualberta.ca/files/8623j0109.

MLA Handbook (7^th Edition):

Dowling, Matthew E. “High Order Corrections to Fundamental Constants.” 2012. Web. 18 Apr 2021.

Vancouver:

Dowling ME. High Order Corrections to Fundamental Constants. [Internet] [Doctoral dissertation]. University of Alberta; 2012. [cited 2021 Apr 18]. Available from: https://era.library.ualberta.ca/files/8623j0109.

Council of Science Editors:

Dowling ME. High Order Corrections to Fundamental Constants. [Doctoral Dissertation]. University of Alberta; 2012. Available from: https://era.library.ualberta.ca/files/8623j0109

Addis Ababa University

2. SAMUEL, MULUGETA. CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS .

Degree: 2012, Addis Ababa University

URL: http://etd.aau.edu.et/dspace/handle/123456789/1285

► This project mainly describe the introduction to chiral perturbation theory for strong interaction at low energy level and deals with quantum chromodynamics and its global… (more)

Subjects/Keywords: chiral perturbation theory; chromodynamics

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APA (6^th Edition):

SAMUEL, M. (2012). CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS . (Thesis). Addis Ababa University. Retrieved from http://etd.aau.edu.et/dspace/handle/123456789/1285

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):

SAMUEL, MULUGETA. “CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS .” 2012. Thesis, Addis Ababa University. Accessed April 18, 2021. http://etd.aau.edu.et/dspace/handle/123456789/1285.

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

MLA Handbook (7^th Edition):

SAMUEL, MULUGETA. “CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS .” 2012. Web. 18 Apr 2021.

Vancouver:

SAMUEL M. CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS . [Internet] [Thesis]. Addis Ababa University; 2012. [cited 2021 Apr 18]. Available from: http://etd.aau.edu.et/dspace/handle/123456789/1285.

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

Council of Science Editors:

SAMUEL M. CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS . [Thesis]. Addis Ababa University; 2012. Available from: http://etd.aau.edu.et/dspace/handle/123456789/1285

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

3. Monahan, Christopher John. The application of automated perturbation theory to lattice QCD.

Degree: PhD, 2011, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

► Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving… (more)

▼ Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving heavy hadrons provide stringent tests of Cabibbo-Kobayashi-Maskawa (CKM) matrix unitarity and serve as a probe of new physics. Hadronic matrix elements parameterise the strong dynamics of these interactions and these matrix elements must be calculated nonperturbatively. Lattice quantum chromodynamics (QCD) provides the framework for nonperturbative calculations of QCD processes. Current lattices are too coarse to directly simulate b quarks. Therefore an effective theory, nonrelativistic QCD (NRQCD), is used to discretise the heavy quarks. High precision simulations are required so systematic uncertainties are removed by improving the NRQCD action. Precise simulations also require improved sea quark actions, such as the highly-improved staggered quark (HISQ) action. The renormalisation parameters of these actions cannot be feasibly determined by hand and thus automated procedures have been developed. In this dissertation I apply automated lattice pertubartion theory to a number of heavy quark calculations. I first review the fundamentals of lattice QCD and the construction of lattice NRQCD. I then motivate and discuss lattice perturbation theory in detail, focussing on the tools and techniques that I use in this dissertation. I calculate the two-loop tadpole improvement factors for improved gluons with improved light quarks. I then compute the renormalisation parameters of NRQCD. I use a mix of analytic and numerical methods to extract the one-loop radiative corrections to the higher order kinetic operators in the NRQCD action. I then employ a fully automated procedure to calculate the heavy quark energy shift at two-loops. I use this result to extract a new prediction of the mass of the b quark from lattice NRQCD simulations by the HPQCD collaboration. I also review the calculation of the radiative corrections to the chromo-magnetic operator in the NRQCD action. This computation is the first outcome of our implementation of background field gauge for automated lattice perturbation theory. Finally, I calculate the heavy-light currents for highly-improved NRQCD heavy quarks with massless HISQ light quarks and discuss the application of these results to nonperturbative studies by the HPQCD collaboration.

Subjects/Keywords: Lattice QCD; NRQCD; Perturbation theory

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APA (6^th Edition):

Monahan, C. J. (2011). The application of automated perturbation theory to lattice QCD. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Monahan, Christopher John. “The application of automated perturbation theory to lattice QCD.” 2011. Doctoral Dissertation, University of Cambridge. Accessed April 18, 2021. http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Monahan, Christopher John. “The application of automated perturbation theory to lattice QCD.” 2011. Web. 18 Apr 2021.

Vancouver:

Monahan CJ. The application of automated perturbation theory to lattice QCD. [Internet] [Doctoral dissertation]. University of Cambridge; 2011. [cited 2021 Apr 18]. Available from: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg.

Council of Science Editors:

Monahan CJ. The application of automated perturbation theory to lattice QCD. [Doctoral Dissertation]. University of Cambridge; 2011. Available from: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

University of Manchester

4. Hewson, Paul Joseph. Chiral symmetry in nucleons.

Degree: PhD, 2015, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437

► Chiral perturbation theory allows us to probe the low energy properties of hadrons. In this thesis we have looked at the axial coupling constant (see… (more)

Subjects/Keywords: 539.7; Chiral perturbation theory; Baryon

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APA (6^th Edition):

Hewson, P. J. (2015). Chiral symmetry in nucleons. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437

Chicago Manual of Style (16^th Edition):

Hewson, Paul Joseph. “Chiral symmetry in nucleons.” 2015. Doctoral Dissertation, University of Manchester. Accessed April 18, 2021. https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437.

MLA Handbook (7^th Edition):

Hewson, Paul Joseph. “Chiral symmetry in nucleons.” 2015. Web. 18 Apr 2021.

Vancouver:

Hewson PJ. Chiral symmetry in nucleons. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Apr 18]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437.

Council of Science Editors:

Hewson PJ. Chiral symmetry in nucleons. [Doctoral Dissertation]. University of Manchester; 2015. Available from: https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437

Queen Mary, University of London

5. Nalson, Eleanor Catherine. Cosmological perturbation theory and magnetogenesis.

Degree: PhD, 2014, Queen Mary, University of London

URL: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281

► Cosmological perturbation theory (CPT) is an important tool with which inhomogeneities that seed the observed structure of our universe can be studied. This thesis introduces… (more)

Subjects/Keywords: 521; Cosmological perturbation theory; magnetogenesis

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APA (6^th Edition):

Nalson, E. C. (2014). Cosmological perturbation theory and magnetogenesis. (Doctoral Dissertation). Queen Mary, University of London. Retrieved from http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281

Chicago Manual of Style (16^th Edition):

Nalson, Eleanor Catherine. “Cosmological perturbation theory and magnetogenesis.” 2014. Doctoral Dissertation, Queen Mary, University of London. Accessed April 18, 2021. http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281.

MLA Handbook (7^th Edition):

Nalson, Eleanor Catherine. “Cosmological perturbation theory and magnetogenesis.” 2014. Web. 18 Apr 2021.

Vancouver:

Nalson EC. Cosmological perturbation theory and magnetogenesis. [Internet] [Doctoral dissertation]. Queen Mary, University of London; 2014. [cited 2021 Apr 18]. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281.

Council of Science Editors:

Nalson EC. Cosmological perturbation theory and magnetogenesis. [Doctoral Dissertation]. Queen Mary, University of London; 2014. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281

Georgia Tech

6. Bakr, Brandon Wallace. Symmetry-adapted perturbation theory for organocatalysis.

Degree: PhD, Chemistry and Biochemistry, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/60207

► Functional-group and atomic partitions of symmetry-adapted perturbation theory (SAPT) were used, for the first time, to analyze non-covalent interactions thought to influence the selectivity of… (more)

Subjects/Keywords: Symmetry-adapted perturbation theory; Organocatalysis

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APA (6^th Edition):

Bakr, B. W. (2018). Symmetry-adapted perturbation theory for organocatalysis. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/60207

Chicago Manual of Style (16^th Edition):

Bakr, Brandon Wallace. “Symmetry-adapted perturbation theory for organocatalysis.” 2018. Doctoral Dissertation, Georgia Tech. Accessed April 18, 2021. http://hdl.handle.net/1853/60207.

MLA Handbook (7^th Edition):

Bakr, Brandon Wallace. “Symmetry-adapted perturbation theory for organocatalysis.” 2018. Web. 18 Apr 2021.

Vancouver:

Bakr BW. Symmetry-adapted perturbation theory for organocatalysis. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2021 Apr 18]. Available from: http://hdl.handle.net/1853/60207.

Council of Science Editors:

Bakr BW. Symmetry-adapted perturbation theory for organocatalysis. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/60207

7. Kaplanek, Gregory Paul. Perturbative Failure Near Horizons: the Rindler Example.

Degree: MSc, 2018, McMaster University

URL: http://hdl.handle.net/11375/24109

►

Quantum field theory (QFT) in curved spacetime treats a gravitational field as a classical background upon which quantum corrections may be computed. When couplings are… (more)

▼

Quantum field theory (QFT) in curved spacetime treats a gravitational field as a classical background upon which quantum corrections may be computed. When couplings are assumed to be small, it is traditionally believed that perturbation theory yields trustworthy predictions about interacting quantum fields in such settings — this work asserts that this is not always the case. It is argued that perturbative predictions about evolution for very long times near a horizon are subject to problems of secular growth — ie. powers of small couplings come systematically together with growing functions of time. Such growth signals a breakdown of na ̈ıve perturbative calculations of late-time behaviour, regardless of how small ambient curvatures might be. Evidence is built that such breakdowns should be generic for gravitational fields, particularly those containing horizons. This work makes use of the Rindler horizon in flat Minkowski space to demonstrate an explicit example of such perturbative breakdown. A loop correction involving an IR/UV interplay is shown to result in a two-point correlation function which exhibits secular growth. This result is shown to parallel a breakdown occurring in finite temperature QFT, where problems of secular growth are known to occur. The problematic correction is then resummed, allowing for trustworthy late-time inferences. We conclude by discussing how this calculation may be relevant for predictions near black hole horizons.

Thesis

Master of Science (MSc)

Perturbation theory is an approximation technique widely used in the study of quantum field theory (QFT). In this work it is argued that the predictions of per- turbation theory can fail when used on a QFT living in a spacetime that contains an event horizon. This work focuses on perturbative breakdowns that occur after long lengths of time have passed, providing an explicit example in the simplest possible spacetime with an event horizon: Rindler space. It is argued that this breakdown may occur in more complicated settings.

Advisors/Committee Members: Burgess, Cliff, Physics and Astronomy.

Subjects/Keywords: Quantum; Field; Theory; Horizons; Perturbation; Gravity

10 more images…

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APA (6^th Edition):

Kaplanek, G. P. (2018). Perturbative Failure Near Horizons: the Rindler Example. (Masters Thesis). McMaster University. Retrieved from http://hdl.handle.net/11375/24109

Chicago Manual of Style (16^th Edition):

Kaplanek, Gregory Paul. “Perturbative Failure Near Horizons: the Rindler Example.” 2018. Masters Thesis, McMaster University. Accessed April 18, 2021. http://hdl.handle.net/11375/24109.

MLA Handbook (7^th Edition):

Kaplanek, Gregory Paul. “Perturbative Failure Near Horizons: the Rindler Example.” 2018. Web. 18 Apr 2021.

Vancouver:

Kaplanek GP. Perturbative Failure Near Horizons: the Rindler Example. [Internet] [Masters thesis]. McMaster University; 2018. [cited 2021 Apr 18]. Available from: http://hdl.handle.net/11375/24109.

Council of Science Editors:

Kaplanek GP. Perturbative Failure Near Horizons: the Rindler Example. [Masters Thesis]. McMaster University; 2018. Available from: http://hdl.handle.net/11375/24109

North Carolina State University

8. Taylor, Monique Richardson. Dafermos Regularization of a Modified KdV-Burgers Equation.

Degree: PhD, Applied Mathematics, 2010, North Carolina State University

URL: http://www.lib.ncsu.edu/resolver/1840.16/4034

► This project involves Dafermos regularization of a partial differential equation of order higher than 2. The modified Korteweg de Vries-Burgers equation is u_T + f(u)_X… (more)

Subjects/Keywords: Geometric singular perturbation theory; Partial differential equations

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APA (6^th Edition):

Taylor, M. R. (2010). Dafermos Regularization of a Modified KdV-Burgers Equation. (Doctoral Dissertation). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/4034

Chicago Manual of Style (16^th Edition):

Taylor, Monique Richardson. “Dafermos Regularization of a Modified KdV-Burgers Equation.” 2010. Doctoral Dissertation, North Carolina State University. Accessed April 18, 2021. http://www.lib.ncsu.edu/resolver/1840.16/4034.

MLA Handbook (7^th Edition):

Taylor, Monique Richardson. “Dafermos Regularization of a Modified KdV-Burgers Equation.” 2010. Web. 18 Apr 2021.

Vancouver:

Taylor MR. Dafermos Regularization of a Modified KdV-Burgers Equation. [Internet] [Doctoral dissertation]. North Carolina State University; 2010. [cited 2021 Apr 18]. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4034.

Council of Science Editors:

Taylor MR. Dafermos Regularization of a Modified KdV-Burgers Equation. [Doctoral Dissertation]. North Carolina State University; 2010. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4034

9. Timian, Eric. Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems.

Degree: PhD, Chemistry, 2018, University of North Dakota

URL: https://commons.und.edu/theses/2365

► Electronic structure theory programs strive to be as widely applicable as possible. In order to account for effects exhibited by heavier elements, relativistic considerations… (more)

▼ Electronic structure theory programs strive to be as widely applicable as possible. In order to account for effects exhibited by heavier elements, relativistic considerations must be incorporated into these programs. The methods developed in recent years generally succeed in describing the relativistic nature of systems containing heavier elements with reasonable accuracy, but have limited application due to their complexity and computational demand. Highly correlated systems exhibiting significant relativistic effects remain as a challenge to quantum chemical methods. In this thesis, I present the application of a well-defined relativistic Hamiltonian to a high-level electronic structure theory to generate a relativistic variant of a high-level multireference electronic structure theory capable of obtaining accurate results for highly correlated relativistic systems. This theory applies the exact two-component (X2C) relativistic Hamiltonian and a third-order Douglass-Kroll-Hess (DKH3) transformation for the spin-free and spin-orbit terms, respectively. The spin-orbit integrals are contracted into an effective one-electron Hamiltonian using the atomic mean field (AMFI) approximation, which increases computational efficiency with little loss in accuracy. By applying this scheme to the second-order generalized van Vleck perturbation theory (GVVPT2), which offers appropriate treatment of electron correlation, a theory providing an accurate analysis of chemical systems with strong relativistic effects is obtained. The method developed in this work is used to explore ground and low-lying excited states of the lanthanide dimer systems Gd2 and Dy2. Results from scalar relativistic studies show that GVVPT2 can accurately characterize these systems. The ground electronic states obtained (Gd2: 19Î£g- ; Dy2: 11Î g) match literature and theoretical results. The spectroscopic data obtained for the ground state of Gd2 (Re = 2.826 Ã; De = 2.48 eV; Ïe = 153.0 cm-1) are in excellent agreement with literature values (Re = 2.877 Ã; D0 = 2.1 Â± 0.7 eV; Ïe = 138-149 cm-1). Inclusion of spin-orbit coupling in these studies is expected to improve the results to agree with literature values to within chemical accuracy. Future work is planned to extend this method to transition metal trimers. Advisors/Committee Members: Mark Hoffmann.

Subjects/Keywords: Chemistry; Dimer; Lanthanide; Multireference; Perturbation Theory; Relativistic

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APA (6^th Edition):

Timian, E. (2018). Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems. (Doctoral Dissertation). University of North Dakota. Retrieved from https://commons.und.edu/theses/2365

Chicago Manual of Style (16^th Edition):

Timian, Eric. “Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems.” 2018. Doctoral Dissertation, University of North Dakota. Accessed April 18, 2021. https://commons.und.edu/theses/2365.

MLA Handbook (7^th Edition):

Timian, Eric. “Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems.” 2018. Web. 18 Apr 2021.

Vancouver:

Timian E. Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems. [Internet] [Doctoral dissertation]. University of North Dakota; 2018. [cited 2021 Apr 18]. Available from: https://commons.und.edu/theses/2365.

Council of Science Editors:

Timian E. Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems. [Doctoral Dissertation]. University of North Dakota; 2018. Available from: https://commons.und.edu/theses/2365

Université Catholique de Louvain

10. Doeraene, Antoine. Near extreme eigenvalue behaviour in random matrix theory.

Degree: 2018, Université Catholique de Louvain

URL: http://hdl.handle.net/2078.1/198386

►

An important topic in random matrix theory is the study of the statistical properties of the eigenvalues of large random matrices. In this thesis, we… (more)

Subjects/Keywords: Gaussian perturbation; Random matrix theory; Painlevé equations

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APA (6^th Edition):

Doeraene, A. (2018). Near extreme eigenvalue behaviour in random matrix theory. (Thesis). Université Catholique de Louvain. Retrieved from http://hdl.handle.net/2078.1/198386

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):

Doeraene, Antoine. “Near extreme eigenvalue behaviour in random matrix theory.” 2018. Thesis, Université Catholique de Louvain. Accessed April 18, 2021. http://hdl.handle.net/2078.1/198386.

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

MLA Handbook (7^th Edition):

Doeraene, Antoine. “Near extreme eigenvalue behaviour in random matrix theory.” 2018. Web. 18 Apr 2021.

Vancouver:

Doeraene A. Near extreme eigenvalue behaviour in random matrix theory. [Internet] [Thesis]. Université Catholique de Louvain; 2018. [cited 2021 Apr 18]. Available from: http://hdl.handle.net/2078.1/198386.

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

Council of Science Editors:

Doeraene A. Near extreme eigenvalue behaviour in random matrix theory. [Thesis]. Université Catholique de Louvain; 2018. Available from: http://hdl.handle.net/2078.1/198386

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

University of Cambridge

11. Monahan, Christopher John. The application of automated perturbation theory to lattice QCD.

Degree: PhD, 2011, University of Cambridge

URL: https://doi.org/10.17863/CAM.16107 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545407

► Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving… (more)

▼ Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving heavy hadrons provide stringent tests of Cabibbo-Kobayashi-Maskawa (CKM) matrix unitarity and serve as a probe of new physics. Hadronic matrix elements parameterise the strong dynamics of these interactions and these matrix elements must be calculated nonperturbatively. Lattice quantum chromodynamics (QCD) provides the framework for nonperturbative calculations of QCD processes. Current lattices are too coarse to directly simulate b quarks. Therefore an effective theory, nonrelativistic QCD (NRQCD), is used to discretise the heavy quarks. High precision simulations are required so systematic uncertainties are removed by improving the NRQCD action. Precise simulations also require improved sea quark actions, such as the highly-improved staggered quark (HISQ) action. The renormalisation parameters of these actions cannot be feasibly determined by hand and thus automated procedures have been developed. In this dissertation I apply automated lattice pertubartion theory to a number of heavy quark calculations. I first review the fundamentals of lattice QCD and the construction of lattice NRQCD. I then motivate and discuss lattice perturbation theory in detail, focussing on the tools and techniques that I use in this dissertation. I calculate the two-loop tadpole improvement factors for improved gluons with improved light quarks. I then compute the renormalisation parameters of NRQCD. I use a mix of analytic and numerical methods to extract the one-loop radiative corrections to the higher order kinetic operators in the NRQCD action. I then employ a fully automated procedure to calculate the heavy quark energy shift at two-loops. I use this result to extract a new prediction of the mass of the b quark from lattice NRQCD simulationsby the HPQCD collaboration. I also review the calculation of the radiative corrections to the chromo-magnetic operator in the NRQCD action. This computation is the first outcome of our implementation of background field gauge for automated lattice perturbation theory. Finally, I calculate the heavy-light currents for highly-improved NRQCD heavy quarks with massless HISQ light quarks and discuss the application of these results to nonperturbative studies by the HPQCD collaboration.

Subjects/Keywords: 530.14; Lattice QCD; NRQCD; Perturbation theory

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APA (6^th Edition):

Monahan, C. J. (2011). The application of automated perturbation theory to lattice QCD. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.16107 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545407

Chicago Manual of Style (16^th Edition):

Monahan, Christopher John. “The application of automated perturbation theory to lattice QCD.” 2011. Doctoral Dissertation, University of Cambridge. Accessed April 18, 2021. https://doi.org/10.17863/CAM.16107 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545407.

MLA Handbook (7^th Edition):

Monahan, Christopher John. “The application of automated perturbation theory to lattice QCD.” 2011. Web. 18 Apr 2021.

Vancouver:

Monahan CJ. The application of automated perturbation theory to lattice QCD. [Internet] [Doctoral dissertation]. University of Cambridge; 2011. [cited 2021 Apr 18]. Available from: https://doi.org/10.17863/CAM.16107 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545407.

Council of Science Editors:

Monahan CJ. The application of automated perturbation theory to lattice QCD. [Doctoral Dissertation]. University of Cambridge; 2011. Available from: https://doi.org/10.17863/CAM.16107 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545407

12. Hardee, John D. Pseudospectra and structured pseudospectra.

Degree: 2012, NC Docks

URL: http://libres.uncg.edu/ir/uncg/f/Hardee_uncg_0154M_11095.pdf

► Pseudospectra and structured pseudospectra are subsets of the complex plane which give a geometric representation, via eigenvalues, of the effects of perturbations to a matrix.… (more)

Subjects/Keywords: Spectral theory (Mathematics); Perturbation (Mathematics); Eigenvalues

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APA (6^th Edition):

Hardee, J. D. (2012). Pseudospectra and structured pseudospectra. (Thesis). NC Docks. Retrieved from http://libres.uncg.edu/ir/uncg/f/Hardee_uncg_0154M_11095.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):

Hardee, John D. “Pseudospectra and structured pseudospectra.” 2012. Thesis, NC Docks. Accessed April 18, 2021. http://libres.uncg.edu/ir/uncg/f/Hardee_uncg_0154M_11095.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):

Hardee, John D. “Pseudospectra and structured pseudospectra.” 2012. Web. 18 Apr 2021.

Vancouver:

Hardee JD. Pseudospectra and structured pseudospectra. [Internet] [Thesis]. NC Docks; 2012. [cited 2021 Apr 18]. Available from: http://libres.uncg.edu/ir/uncg/f/Hardee_uncg_0154M_11095.pdf.

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

Council of Science Editors:

Hardee JD. Pseudospectra and structured pseudospectra. [Thesis]. NC Docks; 2012. Available from: http://libres.uncg.edu/ir/uncg/f/Hardee_uncg_0154M_11095.pdf

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

University of Edinburgh

13. Garofalo, Marco. Dynamics of numerical stochastic perturbation theory.

Degree: PhD, 2018, University of Edinburgh

URL: http://hdl.handle.net/1842/31086

► Numerical Stochastic Perturbation theory is a powerful tool for estimating high-order perturbative expansions in lattice quantum field theory. The standard algorithm based on the Langevin… (more)

Subjects/Keywords: 530.14; Numerical Stochastic Perturbation theory; Langevin equation; lattice quantum field theory; Instantaneous Stochastic Perturbation Theory; f4 theory

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APA (6^th Edition):

Garofalo, M. (2018). Dynamics of numerical stochastic perturbation theory. (Doctoral Dissertation). University of Edinburgh. Retrieved from http://hdl.handle.net/1842/31086

Chicago Manual of Style (16^th Edition):

Garofalo, Marco. “Dynamics of numerical stochastic perturbation theory.” 2018. Doctoral Dissertation, University of Edinburgh. Accessed April 18, 2021. http://hdl.handle.net/1842/31086.

MLA Handbook (7^th Edition):

Garofalo, Marco. “Dynamics of numerical stochastic perturbation theory.” 2018. Web. 18 Apr 2021.

Vancouver:

Garofalo M. Dynamics of numerical stochastic perturbation theory. [Internet] [Doctoral dissertation]. University of Edinburgh; 2018. [cited 2021 Apr 18]. Available from: http://hdl.handle.net/1842/31086.

Council of Science Editors:

Garofalo M. Dynamics of numerical stochastic perturbation theory. [Doctoral Dissertation]. University of Edinburgh; 2018. Available from: http://hdl.handle.net/1842/31086

14. Hicks, Jason M. Computational Studies Of Oxides Relevant To Clean Energy, Catalytic Processing Of Renewables, And Biological Systems.

Degree: PhD, Chemistry, 2018, University of North Dakota

URL: https://commons.und.edu/theses/2232

► Computational chemistry has grown into a large field and is continuing to grow every year in both number and variety of applications. This dissertation… (more)

▼ Computational chemistry has grown into a large field and is continuing to grow every year in both number and variety of applications. This dissertation will give a few such applications relevant to cleaner energy production from coal, catalytic degradation of renewable agricultural and forest waste into valuable chemicals, and extending the reach of electronic structure methods to systems of biological and macromolecular interest. The first two studies presented in this dissertation are concerned with the remediation of trace elements released into the environment through the combustion of coal for power production. In flue gases, arsenic and antimony exists most often as oxides. Despite the prevalence and importance of remediating these oxides, critical information on the thermodynamics of plausible intermediates and transition states in reaction pathways have been missing prior to these studies. Several of the intermediates, and essentially all transition states, were found to be electronically multiconfigurational for the arsenic oxides. In this work, the electronic structures of several oxides of arsenic, AsxOy, where x = 1, 2 and y = 1-5, were investigated using the second-order generalized van Vleck variant of multireference perturbation theory (GVVPT2), using the cc-pVTZ basis set, with comparison to multi-reference configuration interaction (MRCISD) and the linked completely renormalized coupled cluster through perturbative triple excitations (CR-CCSD(T)L or CR-CC(2,3)) when relevant. Calculated oxidation reaction energies for the formation of AsO2 and AsO3 from AsO were predicted to be energetically favorable and formation energies of the lowest energy compounds containing two metalloid atoms, called dimers for brevity, from the monomers were also predicted to be energetically favorable. The energetics of the monomers, five isomers of As2O3 and eleven isomers of As2O5 were characterized using a composite methodology along with the key transition states between the isomers. Geometry optimizations as well as harmonic vibrational frequencies of AsxOy were obtained at the B3LYP/6-311G* level of theory and gave satisfactory agreement with experimental data when available. It was discovered that several isomers of As2O3 and As2O5 have comparable energies and relatively low barrier heights. Therefore, we expect these isomers to be chemically relevant. The antimony oxides were also found to be electronically multiconfigurational. The electronic structures of several antimony oxides, SbxOy, where x = 1, 2 and y = 1-5, were investigated using GVVPT2 and the SBD-aug-cc-pVTZ basis set. The oxidation reaction energies of elemental antimony toward the formation of SbO and SbO2 was found to be energetically favorable, while the further oxidation of those species to SbO3 was found to be unfavorable. It was found that the accretion of the monomers into Sb2O3 was highly energetically favorable at both the B3LYP/SBD-aug-cc-pVTZ and GVVPT2/SBD-aug-cc-pVTZ//B3LYP/SBD-aug-cc-pVTZ levels of theory. However,… Advisors/Committee Members: Mark R. Hoffmann.

Subjects/Keywords: Cu2O2; electronic structure theory; GVVPT2; lignin; metalloid oxides; multireference perturbation theory

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APA (6^th Edition):

Hicks, J. M. (2018). Computational Studies Of Oxides Relevant To Clean Energy, Catalytic Processing Of Renewables, And Biological Systems. (Doctoral Dissertation). University of North Dakota. Retrieved from https://commons.und.edu/theses/2232

Chicago Manual of Style (16^th Edition):

Hicks, Jason M. “Computational Studies Of Oxides Relevant To Clean Energy, Catalytic Processing Of Renewables, And Biological Systems.” 2018. Doctoral Dissertation, University of North Dakota. Accessed April 18, 2021. https://commons.und.edu/theses/2232.

MLA Handbook (7^th Edition):

Hicks, Jason M. “Computational Studies Of Oxides Relevant To Clean Energy, Catalytic Processing Of Renewables, And Biological Systems.” 2018. Web. 18 Apr 2021.

Vancouver:

Hicks JM. Computational Studies Of Oxides Relevant To Clean Energy, Catalytic Processing Of Renewables, And Biological Systems. [Internet] [Doctoral dissertation]. University of North Dakota; 2018. [cited 2021 Apr 18]. Available from: https://commons.und.edu/theses/2232.

Council of Science Editors:

Hicks JM. Computational Studies Of Oxides Relevant To Clean Energy, Catalytic Processing Of Renewables, And Biological Systems. [Doctoral Dissertation]. University of North Dakota; 2018. Available from: https://commons.und.edu/theses/2232

15. Li, Run. Theory And Application Development Of Electronic Structure Methods Involving Heavy Computation.

Degree: PhD, Chemistry, 2017, University of North Dakota

URL: https://commons.und.edu/theses/2269

► The propargyl radical, the most stable isomer of C3H3, is very important in combustion reactions. However, theoretical calculations have never been able to find… (more)

▼ The propargyl radical, the most stable isomer of C3H3, is very important in combustion reactions. However, theoretical calculations have never been able to find a strong absorption around 242 nm as seen in experiments. In this study, we calculated the electronic energy levels of the propargyl radical using highly accurate multireference methods, including multireference configuration interaction singles and doubles method with triples and quadruples treated perturbatively [denoted as MRCISD(TQ)], as well as second and third order generalized Van Vleck perturbation theories (GVVPT2 and GVVPT3). Calculations indicate that this absorption can be solely attributed to a Franck-Condon-allowed transition from the ground B1 state to the Rydberg-like first A1 excited state. Calculations also show that GVVPT2 with a relatively small active space fails to capture enough Rydberg character of this excited state, while it can be recovered by GVVPT3, MRCISD, and MRCISD(TQ). In order to speed up MRCISD(TQ) calculations, the triple and quadruple (TQ) perturbative corrections, the most time-consuming part of MRCISD(TQ) calculations, were parallelized using Message Passing Interface (MPI). The MRCISD(TQ) method is organized in the framework of macroconfigurations, which allows the use of incomplete reference spaces and provides an efficient means of screening large number of non-interacting configuration state functions (CSFs). The test calculations show that the parallel code achieved close to linear speed-up when the number of CSFs in each macroconfiguration is small. The speed-up suffers when large numbers of CSFs exist in only a few macroconfigurations. The computer algorithm for second-order generalized van Vleck multireference perturbation theory (GVVPT2) was similarly parallelized using the MPI protocol, organized in the framework of macroconfigurations. The maximum number of CSFs per macroconfiguration is found to have less influence on the MPI speedup and scaling than in the case of MRCISD(TQ). It was previously found that unrestricted local density approximation (LDA) orbitals can be used in place of MCSCF to provide orbitals for GVVPT2. This inspired us to use the more controllable restricted density functional theory (DFT) to provide unbiased orbitals for GVVPT2 calculations. In this study, the relationship between restricted DFT and unrestricted DFT were explored and the restricted DFT results were obtained by utilizing subroutines from unrestricted DFT calculations. We also found that the DIIS technique drastically sped up the convergence of RDFT calculations. Plane wave DFT methods are commonly used to efficiently evaluate solid state materials. In this work, the electronic properties of pristine graphene and Zn-phthalocyanine tetrasulfonic acid (Zn-PcS) physisorbed on single-layer graphene were calculated using plane wave DFT. The Perdew-Burke-Ernzerhof functional with dispersion correction (PBE-D2) was used. The densities of states were… Advisors/Committee Members: Mark R. Hoffmann.

Subjects/Keywords: electronic structure theory; GVVPT2; MPI; MRCISD(TQ); multireference perturbation theory; parallelization

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APA (6^th Edition):

Li, R. (2017). Theory And Application Development Of Electronic Structure Methods Involving Heavy Computation. (Doctoral Dissertation). University of North Dakota. Retrieved from https://commons.und.edu/theses/2269

Chicago Manual of Style (16^th Edition):

Li, Run. “Theory And Application Development Of Electronic Structure Methods Involving Heavy Computation.” 2017. Doctoral Dissertation, University of North Dakota. Accessed April 18, 2021. https://commons.und.edu/theses/2269.

MLA Handbook (7^th Edition):

Li, Run. “Theory And Application Development Of Electronic Structure Methods Involving Heavy Computation.” 2017. Web. 18 Apr 2021.

Vancouver:

Li R. Theory And Application Development Of Electronic Structure Methods Involving Heavy Computation. [Internet] [Doctoral dissertation]. University of North Dakota; 2017. [cited 2021 Apr 18]. Available from: https://commons.und.edu/theses/2269.

Council of Science Editors:

Li R. Theory And Application Development Of Electronic Structure Methods Involving Heavy Computation. [Doctoral Dissertation]. University of North Dakota; 2017. Available from: https://commons.und.edu/theses/2269

Uppsala University

16. Junker, Olov. Helicity amplitudes for the transition from the spin-3/2 Sigma to the Lambda hyperon.

Degree: Nuclear Physics, 2020, Uppsala University

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-406832

► The helicity amplitudes of the scattering reaction Sigma* bar Lambda -> pi+ pi- at energies below 1 GeV are calculated. They are part of… (more)

Subjects/Keywords: hyperons; helicity amplitudes; dispersion theory; chiral perturbation theory; Physical Sciences; Fysik

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APA (6^th Edition):

Junker, O. (2020). Helicity amplitudes for the transition from the spin-3/2 Sigma to the Lambda hyperon. (Thesis). Uppsala University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-406832

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):

Junker, Olov. “Helicity amplitudes for the transition from the spin-3/2 Sigma to the Lambda hyperon.” 2020. Thesis, Uppsala University. Accessed April 18, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-406832.

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

MLA Handbook (7^th Edition):

Junker, Olov. “Helicity amplitudes for the transition from the spin-3/2 Sigma to the Lambda hyperon.” 2020. Web. 18 Apr 2021.

Vancouver:

Junker O. Helicity amplitudes for the transition from the spin-3/2 Sigma to the Lambda hyperon. [Internet] [Thesis]. Uppsala University; 2020. [cited 2021 Apr 18]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-406832.

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

Council of Science Editors:

Junker O. Helicity amplitudes for the transition from the spin-3/2 Sigma to the Lambda hyperon. [Thesis]. Uppsala University; 2020. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-406832

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

University of North Texas

17. Turalska, Malgorzata A. Temporal Properties Of Dynamic Processes On Complex Networks.

Degree: 2011, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc103403/

► Many social, biological and technological systems can be viewed as complex networks with a large number of interacting components. However despite recent advancements in network… (more)

Subjects/Keywords: Complex networks; cooperation; renewal theory; linear response theory; perturbation

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APA (6^th Edition):

Turalska, M. A. (2011). Temporal Properties Of Dynamic Processes On Complex Networks. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc103403/

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):

Turalska, Malgorzata A. “Temporal Properties Of Dynamic Processes On Complex Networks.” 2011. Thesis, University of North Texas. Accessed April 18, 2021. https://digital.library.unt.edu/ark:/67531/metadc103403/.

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

MLA Handbook (7^th Edition):

Turalska, Malgorzata A. “Temporal Properties Of Dynamic Processes On Complex Networks.” 2011. Web. 18 Apr 2021.

Vancouver:

Turalska MA. Temporal Properties Of Dynamic Processes On Complex Networks. [Internet] [Thesis]. University of North Texas; 2011. [cited 2021 Apr 18]. Available from: https://digital.library.unt.edu/ark:/67531/metadc103403/.

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

Council of Science Editors:

Turalska MA. Temporal Properties Of Dynamic Processes On Complex Networks. [Thesis]. University of North Texas; 2011. Available from: https://digital.library.unt.edu/ark:/67531/metadc103403/

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

Louisiana State University

18. Viator Jr, Robert Paul. Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps.

Degree: PhD, Applied Mathematics, 2016, Louisiana State University

URL: etd-07072016-223744 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2462

► The author of this dissertation studies the spectral properties of high-contrast photonic crystals, i.e. periodic electromagnetic waveguides made of two materials (a connected phase and… (more)

Subjects/Keywords: Perturbation Theory; Layer Potentials; Partial Differential Equations; Spectral Theory

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APA (6^th Edition):

Viator Jr, R. P. (2016). Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-07072016-223744 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2462

Chicago Manual of Style (16^th Edition):

Viator Jr, Robert Paul. “Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps.” 2016. Doctoral Dissertation, Louisiana State University. Accessed April 18, 2021. etd-07072016-223744 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2462.

MLA Handbook (7^th Edition):

Viator Jr, Robert Paul. “Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps.” 2016. Web. 18 Apr 2021.

Vancouver:

Viator Jr RP. Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps. [Internet] [Doctoral dissertation]. Louisiana State University; 2016. [cited 2021 Apr 18]. Available from: etd-07072016-223744 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2462.

Council of Science Editors:

Viator Jr RP. Spectral Properties of Photonic Crystals: Bloch Waves and Band Gaps. [Doctoral Dissertation]. Louisiana State University; 2016. Available from: etd-07072016-223744 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2462

Louisiana State University

19. McHenry, Emily Anne. Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors.

Degree: PhD, Analysis, 2017, Louisiana State University

URL: https://digitalcommons.lsu.edu/gradschool_dissertations/4152

► In certain layered electromagnetic media, one can construct a waveguide that supports a harmonic electromagnetic field at a frequency that is embedded in the… (more)

▼ In certain layered electromagnetic media, one can construct a waveguide that supports a harmonic electromagnetic field at a frequency that is embedded in the continuous spectrum. When the structure is perturbed, this embedded eigenvalue moves into the complex plane and becomes a “complex resonance” frequency. The real and imaginary parts of this complex frequency have physical meaning. They lie behind anomalous scattering behaviors known collectively as “Fano resonance”, and people are interested in tuning them to specific values in optical devices. The mathematics involves spectral theory and analytic perturbation theory and is well understood [16], at least on a theoretical level for deterministic (fixed coefficient) media. This dissertation is a study of how random fabrication errors in the waveguide structure affect this kind of resonance. The governing equations are the free harmonic Maxwell equations of electromagnetics, which reduce to a system of ODEs in layered media. The material coefficients (dielectric permittivity ϵ(z) and magnetic permeability μ(z)) are considered to be random variables depending only on the z-variable, with small variance σ(z), and we are interested in how the real and imaginary parts of the complex resonance ω=ω^+iω behave as random variables depending on these coefficients. The first main theorem of this thesis states that, if ϵ(z) and μ(z) are stationary random variables with respect to the variable z, then the variances of ω^ and ωˇ can be computed by considering only events in which ϵ and μ are random variables that are constant in z. The significance of this theorem is that it allows one to compute the mean and variance of ω, to leading order in σ, by means of (deterministic) sensitivity analysis of ω as a function of ϵ and μ. One can consider ω to be a complex-analytic function of ϵ (and μ) if ϵ=ϵ^+iϵˇ, where both parts are Hermitian matrices. The Cauchy-Riemann equations, together with known properties of complex resonances allow one to make interesting and useful conclusions about how the frequency of a resonance and the amount of radiation losses depend on the real and imaginary (lossy) parts of the material coefficients.

Subjects/Keywords: spectral theory; analytic perturbation theory; random perturbations; resonant scattering; electromagnetics

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APA (6^th Edition):

McHenry, E. A. (2017). Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors. (Doctoral Dissertation). Louisiana State University. Retrieved from https://digitalcommons.lsu.edu/gradschool_dissertations/4152

Chicago Manual of Style (16^th Edition):

McHenry, Emily Anne. “Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors.” 2017. Doctoral Dissertation, Louisiana State University. Accessed April 18, 2021. https://digitalcommons.lsu.edu/gradschool_dissertations/4152.

MLA Handbook (7^th Edition):

McHenry, Emily Anne. “Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors.” 2017. Web. 18 Apr 2021.

Vancouver:

McHenry EA. Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors. [Internet] [Doctoral dissertation]. Louisiana State University; 2017. [cited 2021 Apr 18]. Available from: https://digitalcommons.lsu.edu/gradschool_dissertations/4152.

Council of Science Editors:

McHenry EA. Electromagnetic Resonant Scattering in Layered Media with Fabrication Errors. [Doctoral Dissertation]. Louisiana State University; 2017. Available from: https://digitalcommons.lsu.edu/gradschool_dissertations/4152

University of Texas – Austin

20. Kundu, Sandipan. Single field inflation : observables and constraints.

Degree: PhD, Physics, 2014, University of Texas – Austin

URL: http://hdl.handle.net/2152/26146

► One of the exciting aspects of cosmology is to understand the period of `cosmic inflation' that powered the epoch of the Big Bang. Inflation has… (more)

▼ One of the exciting aspects of cosmology is to understand the period of `cosmic inflation' that powered the epoch of the Big Bang. Inflation has been very successful in explaining several puzzles of the standard big bang scenario. But the most important success of inflation is that it can explain the temperature fluctuations of cosmic microwave background and the large scale structures of the universe. Despite its great success, the details of the physics of inflation are still unknown. A large number of models of inflation successfully explain all the observations making it remarkably hard to distinguish between different models. We explore the possibility of differentiating between different inflationary models by studying two-point and three-point functions of primordial fluctuations produced during inflation. First, we explore possible constraints on the inflationary equation state by considering current measurements of the power spectrum. Next, we explore the possibility of a single field slow-roll inflationary model with general initial state for primordial fluctuations. The two-point and three-point functions of primordial fluctuations are generally computed assuming that the fluctuations are initially in the Bunch-Davies state. However, we show that the constraints on the initial state from observed power spectrum and local bispectrum are relatively weak and for slow-roll inflation a large number of initial states are consistent with the current observations. As the precision of the observations is increasing significantly, we may learn more about the initial state of the fluctuations in the near future. Finally, we explore the consistency relations for the three-point functions, in the squeezed limit, of scalar and tensor perturbations in single-field inflation that in principle can be used to differentiate between single-field and multi-field inflation models. However, for slow-roll inflation, we find that it is possible to violate some of the consistency relations for initial states that are related to the Bunch-Davies state by Bogoliubov transformations and we identify the reason for the violation. Then we discuss the observational implications of this violation. Advisors/Committee Members: Fischler, Willy (advisor).

Subjects/Keywords: Cosmological perturbation theory; Inflation; Quantum field theory on curved space

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APA (6^th Edition):

Kundu, S. (2014). Single field inflation : observables and constraints. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/26146

Chicago Manual of Style (16^th Edition):

Kundu, Sandipan. “Single field inflation : observables and constraints.” 2014. Doctoral Dissertation, University of Texas – Austin. Accessed April 18, 2021. http://hdl.handle.net/2152/26146.

MLA Handbook (7^th Edition):

Kundu, Sandipan. “Single field inflation : observables and constraints.” 2014. Web. 18 Apr 2021.

Vancouver:

Kundu S. Single field inflation : observables and constraints. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2014. [cited 2021 Apr 18]. Available from: http://hdl.handle.net/2152/26146.

Council of Science Editors:

Kundu S. Single field inflation : observables and constraints. [Doctoral Dissertation]. University of Texas – Austin; 2014. Available from: http://hdl.handle.net/2152/26146

University of Manchester

21. Alhakami, Mohammad Hasan M. Effective field theories of heavy-quark mesons.

Degree: PhD, 2015, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/effective-field-theories-of-heavyquark-mesons(826c18ee-f14b-44e1-aa8d-dba588971048).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.634951

► We study the masses of the low-lying charm and bottom mesons within the framework of heavy-hadron chiral perturbation theory. We work to third order in… (more)

▼ We study the masses of the low-lying charm and bottom mesons within the framework of heavy-hadron chiral perturbation theory. We work to third order in the chiral expansion, where meson loops contribute. In contrast to previous approaches, we use physical meson masses in evaluating these loops. This ensures that their imaginary parts are consistent with the observed widths of the D-mesons. The lowest odd- and even-parity, strange and non-strange mesons provide enough constraints to determine only certain linear combinations of the low-energy constants (LECs) in the effective Lagrangian. We comment on how lattice QCD could provide further information to disentangle these constants. Then we use the results from the charm sector to predict the spectrum of odd- and even-parity of the bottom mesons. The predicted masses from our theory are in good agreement with experimentally measured masses for the case of the odd-parity sector. For the even-parity sector, the B-meson states have not yet been observed; thus, our results provide useful information for experimentalists investigating such states. The near degeneracy of nonstrange and strange scalar B mesons is confirmed in our predictions using {HHChPT}. Finally,we show why previous approaches of using {HHChPT} in studying the mass degeneracy in the scalar states of charm and bottom meson sectors gave unsatisfactory results. Interactions between these heavy mesons are treated using effective theories similar to those used to study nuclear forces. We first look at a strongly-interacting channel which produces a bound or virtual state and a dimer state which couples weakly to a weakly-interacting channel to produce a narrow resonance. We also look at the short-range interactions in two channels. We consider two cases: two channels where one has a strong s-wave interaction which produces bound or virtual states, and a dimer state which couples weakly to weakly-coupled channels which in turn can produce narrow resonances. For each of these systems, we use well-defined power-counting schemes. The results can be used to investigate resonances in the charmonium and bottomonium systems. We demonstrate how the method can be applied to the X(3872). The widths of the X(3872) for decay processes to D̅⁰ D^*0 and D̅^0D⁰π are calculated. We use these results to obtain the line shapes of the X(3872) under different assumptions about the nature of this state.

Subjects/Keywords: 539.7; EFT; B meson; chiral Perturbation Theory; Heavy Hadron chiral Perturbation Theory; Heavy Meson chiral Perturbation Theory; Exotic meson; X(3872); Charm mesons; Heavy quark symmetry; power counting; XEFT

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

APA (6^th Edition):

Alhakami, M. H. M. (2015). Effective field theories of heavy-quark mesons. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/effective-field-theories-of-heavyquark-mesons(826c18ee-f14b-44e1-aa8d-dba588971048).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.634951

Chicago Manual of Style (16^th Edition):

Alhakami, Mohammad Hasan M. “Effective field theories of heavy-quark mesons.” 2015. Doctoral Dissertation, University of Manchester. Accessed April 18, 2021. https://www.research.manchester.ac.uk/portal/en/theses/effective-field-theories-of-heavyquark-mesons(826c18ee-f14b-44e1-aa8d-dba588971048).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.634951.

MLA Handbook (7^th Edition):

Alhakami, Mohammad Hasan M. “Effective field theories of heavy-quark mesons.” 2015. Web. 18 Apr 2021.

Vancouver:

Alhakami MHM. Effective field theories of heavy-quark mesons. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Apr 18]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/effective-field-theories-of-heavyquark-mesons(826c18ee-f14b-44e1-aa8d-dba588971048).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.634951.

Council of Science Editors:

Alhakami MHM. Effective field theories of heavy-quark mesons. [Doctoral Dissertation]. University of Manchester; 2015. Available from: https://www.research.manchester.ac.uk/portal/en/theses/effective-field-theories-of-heavyquark-mesons(826c18ee-f14b-44e1-aa8d-dba588971048).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.634951

Johannes Gutenberg Universität Mainz

22. Stopkowicz, Stella. Higher-order perturbative relativistic corrections to energies and properties.

Degree: 2011, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2012/3067/

►

Relativistic effects need to be considered in quantum-chemical calculations on systems including heavy elements or when aiming at high accuracy for molecules containing only lighter… (more)

▼

Relativistic effects need to be considered in quantum-chemical calculations on systems including heavy elements or when aiming at high accuracy for molecules containing only lighter elements. In the latter case, consideration of relativistic effects via perturbation theory is an attractive option. Among the available techniques, Direct Perturbation Theory (DPT) in its lowest order (DPT2) has become a standard tool for the calculation of relativistic corrections to energies and properties.In this work, the DPT treatment is extended to the next order (DPT4). It is demonstrated that the DPT4 correction can be obtained as a second derivative of the energy with respect to the relativistic perturbation parameter. Accordingly, differentiation of a suitable Lagrangian, thereby taking into account all constraints on the wave function, provides analytic expressions for the fourth-order energy corrections. The latter have been implemented at the Hartree-Fock level and within second-order Møller-Plesset perturbaton theory using standard analytic second-derivative techniques into the CFOUR program package. For closed-shell systems, the DPT4 corrections consist of higher-order scalar-relativistic effects as well as spin-orbit corrections with the latter appearing here for the first time in the DPT series.Relativistic corrections are reported for energies as well as for first-order electrical properties and compared to results from rigorous four-component benchmark calculations in order to judge the accuracy and convergence of the DPT expansion for both the scalar-relativistic as well as the spin-orbit contributions. Additionally, the importance of relativistic effects to the bromine and iodine quadrupole-coupling tensors is investigated in a joint experimental and theoretical study concerning the rotational spectra of CH2BrF, CHBrF2, and CH2FI.

In quantenchemischen Untersuchungen an schwere Atomen oder Molekülen, die aus schweren Elemente aufgebaut sind, spielt die Berücksichtigung relativistischer Effekte eine wichtige Rolle. Das gleiche gilt für Rechnungen an Verbindungen aus leichten Elementen, wenn hohe Genauigkeit angestrebt wird. Im letzteren Fall stellen störungstheoretische Methoden wie z.B. die direkte Störungstheorie (engl.: Direct Perturbation Theory, DPT) eine gute Wahl dar. Dementsprechend kann DPT in niedrigster Ordnung, d.h. DPT2, heutzutage als eine Standardmethode betrachtet werden.In der vorliegenden Arbeit wird die nächsthöhere Ordnung der DPT-Entwicklung, d.h. DPT4, behandelt. Es wird gezeigt, dass sich die DPT4-Korrektur als zweite Ableitung der Energie nach einem relativistischen Störparameter darstellen lässt. Ausgehend von einem Lagrange-Funktional, welches neben der Energie auch alle Nebenbedingungen an die Wellenfunktion berücksichtigt, werden durch Differentiation die erforderlichen Ausdrücke für die DPT4-Korrektur erhalten. Programme zur Berechnung dieser Korrekturen wurden für das quantenchemische Programmpaket CFOUR unter Verwendung üblicher Techniken aus der Ableitungstheorie erstellt.…

Subjects/Keywords: Relativistik; Korrelation; Quantenchemie; Störungstheorie; Direkte Störungstheorie; relativity; correlation; quantum chemistry; perturbation theory; direct perturbation theory; Chemistry and allied sciences

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

APA (6^th Edition):

Stopkowicz, S. (2011). Higher-order perturbative relativistic corrections to energies and properties. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2012/3067/

Chicago Manual of Style (16^th Edition):

Stopkowicz, Stella. “Higher-order perturbative relativistic corrections to energies and properties.” 2011. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed April 18, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2012/3067/.

MLA Handbook (7^th Edition):

Stopkowicz, Stella. “Higher-order perturbative relativistic corrections to energies and properties.” 2011. Web. 18 Apr 2021.

Vancouver:

Stopkowicz S. Higher-order perturbative relativistic corrections to energies and properties. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2011. [cited 2021 Apr 18]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2012/3067/.

Council of Science Editors:

Stopkowicz S. Higher-order perturbative relativistic corrections to energies and properties. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2011. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2012/3067/

Johannes Gutenberg Universität Mainz

23. Seelmann, Albrecht. Perturbation theory for spectral subspaces.

Degree: 2014, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2014/3862/

►

In der vorliegenden Arbeit wird die Variation abgeschlossener Unterräume eines Hilbertraumes untersucht, die mit isolierten Komponenten der Spektren von selbstadjungierten Operatoren unter beschränkten additiven Störungen… (more)

▼

In der vorliegenden Arbeit wird die Variation abgeschlossener Unterräume eines Hilbertraumes untersucht, die mit isolierten Komponenten der Spektren von selbstadjungierten Operatoren unter beschränkten additiven Störungen assoziiert sind. Von besonderem Interesse ist hierbei die am wenigsten restriktive Bedingung an die Norm der Störung, die sicherstellt, dass die Differenz der zugehörigen orthogonalen Projektionen eine strikte Normkontraktion darstellt. Es wird ein Überblick über die bisher erzielten Resultate gegeben. Basierend auf einem Iterationsansatz wird eine allgemeine Schranke an die Variation der Unterräume für Störungen erzielt, die glatt von einem reellen Parameter abhängen. Durch Einführung eines Kopplungsparameters wird das Ergebnis auf den Fall additiver Störungen angewendet. Auf diese Weise werden zuvor bekannte Ergebnisse verbessert. Im Falle von additiven Störungen werden die Schranken an die Variation der Unterräume durch ein Optimierungsverfahren für die Stützstellen im Iterationsansatz weiter verschärft. Die zugehörigen Ergebnisse sind die besten, die bis zum jetzigen Zeitpunkt erzielt wurden.

In the present thesis, the variation of closed subspaces of a Hilbert space associated with isolated components of the spectra of linear self-adjoint operators under a bounded additive perturbation is studied. Of particular interest is the least restrictive condition on the norm of the perturbation that guarantees that the difference of the corresponding orthogonal projections is a strict norm contraction. An overview on the results obtained so far is given. Based on an iteration approach, a general bound on the variation of the subspaces is obtained for perturbations depending smoothly on a real parameter. The result is applied to the case of additive perturbations by introducing a coupling parameter on the perturbation. In this way, previously known results are strengthened. In the case of additive perturbations, the bounds on the variation of the subspaces are sharpened further by an optimization procedure for the choice of the supporting points in the iteration approach. The corresponding results are the best ones obtained so far.

Subjects/Keywords: Störungstheorie, spektrale Unterräume, Operatorwinkel; Perturbation theory, spectral subspaces, operator angle; Mathematics

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

APA (6^th Edition):

Seelmann, A. (2014). Perturbation theory for spectral subspaces. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2014/3862/

Chicago Manual of Style (16^th Edition):

Seelmann, Albrecht. “Perturbation theory for spectral subspaces.” 2014. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed April 18, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2014/3862/.

MLA Handbook (7^th Edition):

Seelmann, Albrecht. “Perturbation theory for spectral subspaces.” 2014. Web. 18 Apr 2021.

Vancouver:

Seelmann A. Perturbation theory for spectral subspaces. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2014. [cited 2021 Apr 18]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2014/3862/.

Council of Science Editors:

Seelmann A. Perturbation theory for spectral subspaces. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2014. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2014/3862/

24. Mehta,Mitaxi. Some investigation in the dependent canonical perturbation theory; -.

Degree: Physics, 2014, Gujarat University

URL: http://shodhganga.inflibnet.ac.in/handle/10603/30933

none newline

-

Advisors/Committee Members: Prasanna,A R.

Subjects/Keywords: canonical; investigation; perturbation theory

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

APA (6^th Edition):

Mehta,Mitaxi. (2014). Some investigation in the dependent canonical perturbation theory; -. (Thesis). Gujarat University. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/30933

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

Chicago Manual of Style (16^th Edition):

Mehta,Mitaxi. “Some investigation in the dependent canonical perturbation theory; -.” 2014. Thesis, Gujarat University. Accessed April 18, 2021. http://shodhganga.inflibnet.ac.in/handle/10603/30933.

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

MLA Handbook (7^th Edition):

Mehta,Mitaxi. “Some investigation in the dependent canonical perturbation theory; -.” 2014. Web. 18 Apr 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

Mehta,Mitaxi. Some investigation in the dependent canonical perturbation theory; -. [Internet] [Thesis]. Gujarat University; 2014. [cited 2021 Apr 18]. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/30933.

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

Council of Science Editors:

Mehta,Mitaxi. Some investigation in the dependent canonical perturbation theory; -. [Thesis]. Gujarat University; 2014. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/30933

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

University of California – Berkeley

25. Aminzadeh Gohari, Amin. Results and Techniques in Multiuser Information Theory.

Degree: Electrical Engineering & Computer Sciences, 2010, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/08c3v404

► In this dissertation we develop new techniques and apply them to prove new results in multiuser information theory. In the first part of the dissertation,… (more)

▼ In this dissertation we develop new techniques and apply them to prove new results in multiuser information theory. In the first part of the dissertation, we introduce the ``potential function method," and apply it to prove converses for a series of multiterminal network capacity problems. In the second part of the dissertation, we introduce the ``perturbation method," and apply it to the general broadcast channel problem, a fundamental open problem in information theory. Furthermore, we address a number of computational issues associated with the general broadcast channel.The first part of the dissertation is devoted to the ``potential function method" and its application to multiterminal networks. This method works by finding certain properties of expressions which will imply that they dominate the capacity region, and then proving a given bound by a verification argument. We show that this method can provide a unified framework for proving converses. We begin by considering the category of rate region problems without output feedback. The ``dynamic programming flavor" of the technique and its use of one-step equations are brought up here. To demonstrate the use of technique in problems with feedback, we consider the problem of information-theoretically secure secret key agreement under the well-known emph{source model} and emph{channel model}. The concept of ``state" and its evolution during the interactive communication by the parties are brought up here. The upper bounds we prove in this section are new and are strictly better than their corresponding previously best known upper bounds (our new lower bounds are relegated to an appendix in the end of the dissertation as they were not derived using the potential function method). Finally, we demonstrate the use of technique in a problem that involves transmission of dependent sources over strong interference channels. The new feature is that the notion of achievable rate regions is replaced by that of admissible sources. The result proved in this section is also new.The second part of the dissertation begins by discussing the ``perturbation method," and its application to the general broadcast channel problem. The perturbation method is based on an identity that relates the second derivative of the Shannon entropy of a discrete random variable (under a certain perturbation) to the corresponding Fisher information. We apply this tool to make Marton's inner bound for the general broadcast channel computable. Before this, the latter region was not computable (except in certain special cases) as no bounds on the cardinality of its auxiliary random variables existed. The main obstacle in proving cardinality bounds is the fact that the Carath'{e}odory theorem, the main known tool for proving cardinality bounds, does not yield a finite cardinality result. In order to go beyond the traditional Carath'{e}odory type arguments, we identify certain properties that the auxiliary random variables corresponding to the extreme points of the inner bound satisfy. These properties…

Subjects/Keywords: Electrical engineering; Broadcast channel; Information Theory; Perturbation method; Potential function method

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APA (6^th Edition):

Aminzadeh Gohari, A. (2010). Results and Techniques in Multiuser Information Theory. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/08c3v404

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):

Aminzadeh Gohari, Amin. “Results and Techniques in Multiuser Information Theory.” 2010. Thesis, University of California – Berkeley. Accessed April 18, 2021. http://www.escholarship.org/uc/item/08c3v404.

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

MLA Handbook (7^th Edition):

Aminzadeh Gohari, Amin. “Results and Techniques in Multiuser Information Theory.” 2010. Web. 18 Apr 2021.

Vancouver:

Aminzadeh Gohari A. Results and Techniques in Multiuser Information Theory. [Internet] [Thesis]. University of California – Berkeley; 2010. [cited 2021 Apr 18]. Available from: http://www.escholarship.org/uc/item/08c3v404.

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

Council of Science Editors:

Aminzadeh Gohari A. Results and Techniques in Multiuser Information Theory. [Thesis]. University of California – Berkeley; 2010. Available from: http://www.escholarship.org/uc/item/08c3v404

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

26. Ranabhatt, Gunjan Atulkumar. A problem related to alternating series and allied topics;.

Degree: Mathematics, 2013, Maharaja Krishnakumarsinhji Bhavnagar University

URL: http://shodhganga.inflibnet.ac.in/handle/10603/8339

None

References p. 136-139

Advisors/Committee Members: Modi, H B.

Subjects/Keywords: Mathematics; Perturbation Theory; Alternating series

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

APA (6^th Edition):

Ranabhatt, G. A. (2013). A problem related to alternating series and allied topics;. (Thesis). Maharaja Krishnakumarsinhji Bhavnagar University. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/8339

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):

Ranabhatt, Gunjan Atulkumar. “A problem related to alternating series and allied topics;.” 2013. Thesis, Maharaja Krishnakumarsinhji Bhavnagar University. Accessed April 18, 2021. http://shodhganga.inflibnet.ac.in/handle/10603/8339.

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

MLA Handbook (7^th Edition):

Ranabhatt, Gunjan Atulkumar. “A problem related to alternating series and allied topics;.” 2013. Web. 18 Apr 2021.

Vancouver:

Ranabhatt GA. A problem related to alternating series and allied topics;. [Internet] [Thesis]. Maharaja Krishnakumarsinhji Bhavnagar University; 2013. [cited 2021 Apr 18]. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/8339.

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

Council of Science Editors:

Ranabhatt GA. A problem related to alternating series and allied topics;. [Thesis]. Maharaja Krishnakumarsinhji Bhavnagar University; 2013. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/8339

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

27. Valvo, Lorenzo. Hamiltonian perturbation theory on a poisson algebra : application to a throbbing top and to magnetically confined particles : Théorie de perturbation hamiltonienne sur une algèbre de poisson : applications à une toupie pulsante et à des particules confinées magnétiquement.

Degree: Docteur es, Physique Théorique et Mathématique, 2019, Aix Marseille Université

URL: http://www.theses.fr/2019AIXM0498

►

La théorie de perturbation Hamiltonienne de la mécanique classique est basé sur la structure d'algébre de Lie. Mais on trouve des structures de Lie dans… (more)

▼

La théorie de perturbation Hamiltonienne de la mécanique classique est basé sur la structure d'algébre de Lie. Mais on trouve des structures de Lie dans tout les systèmes dit ``de Poisson''. Dans la première partie de cette thèse, on propose une approche purement algébrique à la théorie classique des perturbations, qui s'applique donc à tout les système de Poisson. Dans cette méthode, introduit en [Vittot, 2004] une transformation (de Lie) permet de diviser la perturbation en un terme préservant le flot non perturbé, et une correction quadratique.Dans l'exemple d'une Toupie Pulsante (un corps rigide non autonome) symétrique et périodique on montre que notre théorème s'applique et reproduit le théorème de KAM de la mécanique classique. Puis on considere une Toupie non symétrique avec moments d'inertie qui presentent des fluctuations quelconques: dans ce cas, on etudie sous quelles conditions les trajectoires du systeme sont proches de celle du système statique.Dans la troisième partie de ce mémoire, on étudie la dynamique d'une particule chargée dans un champ électromagnétique donné arbitraire. Par par la théorie des perturbations on peut réduire la dimensionnalité de la dynamique, ou étudier la rétroaction de la particule sur le champ. Cependant, fournir une description du flot non perturbé est une tâche redoutable, liée à la question de longue date de la théorie du centre-guide en physique des plasmas. Nous dérivons les équations du mouvement et leur structure de Poisson dans une nuovelle description relativiste et non perturbative de cette théorie.

The Hamiltonian perturbation theory of classical mechanics is based on the underlying Lie algebraic structure. But Lie structures are met in a wider class of dynamical systems, called Poisson systems. In the first part of this thesis, we propose a purely algebraic approach to classical perturbation theory to extend its scope to any Poisson system. In this method, introduced in [Vittot, 2004], a (Lie) transform allows to split the perturbation into a term reserving the unperturbed flow, and a smaller correction, quadratic in the original perturbation strength.The second part of the dissertation is about the dynamics of a non-autonomous Top. We consider first a symmetric Top with periodically dependent moments of inertia; in this case, our theorem applies and reproduces the KAM theorem of classical mechanics. Then we switch to a non symmetric Top with non-periodically fluctuating moments of inertia: in this case we study for which conditions the static trajectories give a good approximation to those of the non-autonomous system.In the third part of this work we study the dynamics of a magnetically confined particle. By perturbation theory one may reduce the dimensionality of the dynamics, or study the retroaction of the particle on the field. However, providing an efficient description of the unperturbed flow is a formidable task, related to the long-standing issue of Guiding Centre Theory in plasma physics. Recently a novel relativistic and non-perturbative approach to…

Advisors/Committee Members: Vittot, Michel (thesis director).

Subjects/Keywords: .; Poisson structure; Perturbation Theory; Rigid Body; Guiding Centre; 530

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

APA (6^th Edition):

Valvo, L. (2019). Hamiltonian perturbation theory on a poisson algebra : application to a throbbing top and to magnetically confined particles : Théorie de perturbation hamiltonienne sur une algèbre de poisson : applications à une toupie pulsante et à des particules confinées magnétiquement. (Doctoral Dissertation). Aix Marseille Université. Retrieved from http://www.theses.fr/2019AIXM0498

Chicago Manual of Style (16^th Edition):

Valvo, Lorenzo. “Hamiltonian perturbation theory on a poisson algebra : application to a throbbing top and to magnetically confined particles : Théorie de perturbation hamiltonienne sur une algèbre de poisson : applications à une toupie pulsante et à des particules confinées magnétiquement.” 2019. Doctoral Dissertation, Aix Marseille Université. Accessed April 18, 2021. http://www.theses.fr/2019AIXM0498.

MLA Handbook (7^th Edition):

Valvo, Lorenzo. “Hamiltonian perturbation theory on a poisson algebra : application to a throbbing top and to magnetically confined particles : Théorie de perturbation hamiltonienne sur une algèbre de poisson : applications à une toupie pulsante et à des particules confinées magnétiquement.” 2019. Web. 18 Apr 2021.

Vancouver:

Valvo L. Hamiltonian perturbation theory on a poisson algebra : application to a throbbing top and to magnetically confined particles : Théorie de perturbation hamiltonienne sur une algèbre de poisson : applications à une toupie pulsante et à des particules confinées magnétiquement. [Internet] [Doctoral dissertation]. Aix Marseille Université 2019. [cited 2021 Apr 18]. Available from: http://www.theses.fr/2019AIXM0498.

Council of Science Editors:

Valvo L. Hamiltonian perturbation theory on a poisson algebra : application to a throbbing top and to magnetically confined particles : Théorie de perturbation hamiltonienne sur une algèbre de poisson : applications à une toupie pulsante et à des particules confinées magnétiquement. [Doctoral Dissertation]. Aix Marseille Université 2019. Available from: http://www.theses.fr/2019AIXM0498

28. Hewson, Paul Joseph. Chiral symmetry in nucleons.

Degree: 2015, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:263325

► Chiral perturbation theory allows us to probe the low energy properties of hadrons. In this thesis we have looked at the axial coupling constant (see… (more)

Subjects/Keywords: Chiral perturbation theory; Baryon

…symmetry in nucleons April 23, 2015 Chiral perturbation theory allows us to probe the low energy… …in chiral perturbation theory. We also included the decuplet as an explicit degree of… …as chiral perturbation theory. We have also used a large amount of lattice data to study… …how these observables vary with the pion mass. Chiral 14 1.1. QCD 15 perturbation theory… …will introduce chiral perturbation theory. As there has been a lot of lattice data used in…

1 more image…

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

APA (6^th Edition):

Hewson, P. J. (2015). Chiral symmetry in nucleons. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:263325

Chicago Manual of Style (16^th Edition):

Hewson, Paul Joseph. “Chiral symmetry in nucleons.” 2015. Doctoral Dissertation, University of Manchester. Accessed April 18, 2021. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:263325.

MLA Handbook (7^th Edition):

Hewson, Paul Joseph. “Chiral symmetry in nucleons.” 2015. Web. 18 Apr 2021.

Vancouver:

Hewson PJ. Chiral symmetry in nucleons. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Apr 18]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:263325.

Council of Science Editors:

Hewson PJ. Chiral symmetry in nucleons. [Doctoral Dissertation]. University of Manchester; 2015. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:263325

University of Manchester

29. Pearson, Jonathan Andrew. Generalized perturbations in modified gravity and dark energy.

Degree: PhD, 2012, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/generalized-perturbations-in-modified-gravity-and-dark-energy(ac520c15-f240-4c63-84af-1110fdfc9815).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.559341

► When recent observational data and the GR+FRW+CDM model are combined we obtain the result that the Universe is accelerating, where the acceleration is due to… (more)

Subjects/Keywords: 523.01; Cosmology; Gravity; General Relativity; Dark energy; Modified gravity; Perturbation theory

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

APA (6^th Edition):

Pearson, J. A. (2012). Generalized perturbations in modified gravity and dark energy. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/generalized-perturbations-in-modified-gravity-and-dark-energy(ac520c15-f240-4c63-84af-1110fdfc9815).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.559341

Chicago Manual of Style (16^th Edition):

Pearson, Jonathan Andrew. “Generalized perturbations in modified gravity and dark energy.” 2012. Doctoral Dissertation, University of Manchester. Accessed April 18, 2021. https://www.research.manchester.ac.uk/portal/en/theses/generalized-perturbations-in-modified-gravity-and-dark-energy(ac520c15-f240-4c63-84af-1110fdfc9815).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.559341.

MLA Handbook (7^th Edition):

Pearson, Jonathan Andrew. “Generalized perturbations in modified gravity and dark energy.” 2012. Web. 18 Apr 2021.

Vancouver:

Pearson JA. Generalized perturbations in modified gravity and dark energy. [Internet] [Doctoral dissertation]. University of Manchester; 2012. [cited 2021 Apr 18]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/generalized-perturbations-in-modified-gravity-and-dark-energy(ac520c15-f240-4c63-84af-1110fdfc9815).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.559341.

Council of Science Editors:

Pearson JA. Generalized perturbations in modified gravity and dark energy. [Doctoral Dissertation]. University of Manchester; 2012. Available from: https://www.research.manchester.ac.uk/portal/en/theses/generalized-perturbations-in-modified-gravity-and-dark-energy(ac520c15-f240-4c63-84af-1110fdfc9815).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.559341

University of Oxford

30. Wong, Chin Pin. Kato's Perturbation Theorem and honesty theory.

Degree: PhD, 2015, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:c72c308b-d96d-4e31-a854-f2a10e99eeb6 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711873

► We study an additive perturbation theorem for substochastic semigroups which is known as Kato's Theorem. There are two previously-known generalisations of Kato's Theorem, namely for… (more)

Subjects/Keywords: 515; Functional Analysis; semigroups of operators; Kato's Perturbation Theorem; honesty theory

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

APA (6^th Edition):

Wong, C. P. (2015). Kato's Perturbation Theorem and honesty theory. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:c72c308b-d96d-4e31-a854-f2a10e99eeb6 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711873

Chicago Manual of Style (16^th Edition):

Wong, Chin Pin. “Kato's Perturbation Theorem and honesty theory.” 2015. Doctoral Dissertation, University of Oxford. Accessed April 18, 2021. http://ora.ox.ac.uk/objects/uuid:c72c308b-d96d-4e31-a854-f2a10e99eeb6 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711873.

MLA Handbook (7^th Edition):

Wong, Chin Pin. “Kato's Perturbation Theorem and honesty theory.” 2015. Web. 18 Apr 2021.

Vancouver:

Wong CP. Kato's Perturbation Theorem and honesty theory. [Internet] [Doctoral dissertation]. University of Oxford; 2015. [cited 2021 Apr 18]. Available from: http://ora.ox.ac.uk/objects/uuid:c72c308b-d96d-4e31-a854-f2a10e99eeb6 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711873.

Council of Science Editors:

Wong CP. Kato's Perturbation Theorem and honesty theory. [Doctoral Dissertation]. University of Oxford; 2015. Available from: http://ora.ox.ac.uk/objects/uuid:c72c308b-d96d-4e31-a854-f2a10e99eeb6 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711873

Open Access Theses and Dissertations