Path Integrals And Coherent States Of Su 2 And Su 1 1
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Path Integrals And Coherent States Of Su 2 And Su 1 1
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Author : Akira Inomata
language : en
Publisher: World Scientific
Release Date : 1992
Path Integrals And Coherent States Of Su 2 And Su 1 1 written by Akira Inomata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
The authors examine several topical subjects, commencing with a general introduction to path integrals in quantum mechanics and the group theoretical backgrounds for path integrals. Applications of harmonic analysis, polar coordinate formulation, various techniques and path integrals on SU(2) and SU(1, 1) are discussed. Soluble examples presented include particle-flux system, a pulsed oscillator, magnetic monopole, the Coulomb problem in curved space and others.The second part deals with the SU(2) coherent states and their applications. Construction and generalization of the SU(2) coherent states, formulation of coherent path integrals for spin and unitary spin, and semiclassical quantization are presented. Applications are made to the study of quantum fluctuation, the nonlinear field model and phase holonomy.The final chapters present the theory of the SU(1, 1) coherent states and their applications. The radial coulomb problem, the Morse oscillator, and the large-N approximation are discussed. Applications to problems in quantum optics such as squeezed states, interaction with the squeezed vacuum states, and phase operator formalism are also included.This book will be useful as an introduction to the subject as well as a valuable work of reference.
Path Integrals From Pev To Tev 50 Years After Feynman S Paper Proceedings Of The Sixth International Conference
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Author : Valerio Tognetti
language : en
Publisher: World Scientific
Release Date : 1999-04-01
Path Integrals From Pev To Tev 50 Years After Feynman S Paper Proceedings Of The Sixth International Conference written by Valerio Tognetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-01 with categories.
This book contains the invited contributions to the 6th International Conference on Path Integrals from peV to TeV, held in Florence in 1998. The conference, devoted to functional integration, brought together many physicists with interests ranging from elementary particles to nuclear, solid state, liquid state, polymer and complex systems physics. The variety of topics is reflected in the book, which is a unique collection of papers on manifold applications of functional methods in several areas of physics.
On Klauder S Path A Field Trip
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Author : G G Emch
language : en
Publisher: World Scientific
Release Date : 1994-04-27
On Klauder S Path A Field Trip written by G G Emch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-04-27 with Mathematics categories.
This volume contains contributions by friends, colleagues and associates of John R Klauder on the occasion of his 60th birthday. Klauder's scientific work embraces vast territories from quantum theories to general relativity, optics and chaotic dynamics. A recurrent theme in his research is the role played by coherent states, in particular, in connection with path integral formulations of quantization. Perhaps at a less lofty level, this concept has had at least two spectacular applications: as a powerful investigative tool in quantum optics and as a precursor to wavelets. In a different vein, Klauder also attacked specific, non-renormalizable but exactly soluble, hard-core models in field theory, where he uncovered what has since been called the Klauder phenomenon. The contributors to this volume represent the special brand of mathematicians and physicists John Klauder helped define throughout his seminal career in the industrial and academic worlds. Contents:Preface (J R Klauder)A Remark on a Connection of Return to Equilibrium and Multiple Ground States in Some Perturbed XY–Model (H Araki)Covariance Sub-Algebras Connected with Symmetry Groups of C∗öAlgebras (H J Borchers)Coherent-State Path-Integrals and Their Relations to Wavelets (B De Facio)Brownian Motion and Its Conditional Descendants (P Garbaczweski)Path Integrals and Network Quantum Numbers (R Gilmore and M Jeffery)Reckoning of the Besselian Path Integral (A Inomata)On Q-Analogs of Coherent States (M A Lohe & L C Biedenharn)Coherent States and Squeezed States, Supercoherent States and Supersqueezed States (M M Nieto)How to Generate Thermal Photons — On the Computer (M R Schroeder)A Local Quantum Theory Without Positive Energy Representations (R F Streater)Quantum Noise and Thermal Noise (H Umezawa)and other papers Readership: Physicists and mathematicians. keywords:
Path Integrals In Physics
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Author : M Chaichian
language : en
Publisher: CRC Press
Release Date : 2001-07-01
Path Integrals In Physics written by M Chaichian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-01 with Science categories.
Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Mathematical Methods For Physicists
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Author : Danilo Babusci
language : en
Publisher: World Scientific
Release Date : 2019-10-02
Mathematical Methods For Physicists written by Danilo Babusci and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Science categories.
The book covers different aspects of mathematical methods for Physics. It is designed for graduate courses but a part of it can also be used by undergraduate students. The leitmotiv of the book is the search for a common mathematical framework for a wide class of apparently disparate physical phenomena. An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant technicalities and yield a unifying view to their applications in Physics as well as other branches of science.The chapters are not organized through the mathematical study of specific problems in Physics, rather they are suggested by the formalism itself. For example, it is shown how the matrix formalism is useful to treat ray Optics, atomic systems evolution, QED, QCD and Feynman diagrams. The methods presented here are simple but rigorous. They allow a fairly substantive tool of analysis for a variety of topics and are useful for beginners as well as the more experienced researchers.
Path Integrals
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Author : Wolfhard Janke
language : en
Publisher: World Scientific
Release Date : 2008
Path Integrals written by Wolfhard Janke and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
This proceedings volume contains selected talks and poster presentations from the 9th International Conference on Path Integrals ? New Trends and Perspectives, which took place at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, during the period September 23?28, 2007. Continuing the well-developed tradition of the conference series, the present status of both the different techniques of path integral calculations and their diverse applications to many fields of physics and chemistry is reviewed. This is reflected in the main topics in this volume, which range from more traditional fields such as general quantum physics and quantum or statistical field theory through technical aspects like Monte Carlo simulations to more modern applications in the realm of quantum gravity and astrophysics, condensed matter physics with topical subjects such as Bose?Einstein condensation or quantum wires, biophysics and econophysics. All articles are successfully tied together by the common method of path integration; as a result, special methodological advancements in one topic could be transferred to other topics.
Equivariant Cohomology And Localization Of Path Integrals
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Author : Richard J. Szabo
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01
Equivariant Cohomology And Localization Of Path Integrals written by Richard J. Szabo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.
This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented.
Path Integrals Hyperbolic Spaces And Selberg Trace Formulae
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Author : Christian Grosche
language : en
Publisher: World Scientific
Release Date : 2013-07-26
Path Integrals Hyperbolic Spaces And Selberg Trace Formulae written by Christian Grosche and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-26 with Science categories.
In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition. The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition. In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula. Contents:IntroductionPath Integrals in Quantum MechanicsSeparable Coordinate Systems on Spaces of Constant CurvaturePath Integrals in Pseudo-Euclidean GeometryPath Integrals in Euclidean SpacesPath Integrals on SpheresPath Integrals on HyperboloidsPath Integral on the Complex SpherePath Integrals on Hermitian Hyperbolic SpacePath Integrals on Darboux SpacesPath Integrals on Single-Sheeted HyperboloidsMiscellaneous Results on Path IntegrationBilliard Systems and Periodic Orbit TheoryThe Selberg Trace FormulaThe Selberg Super-Trace FormulaSummary and Discussion Readership: Graduate and researchers in mathematical physics. Keywords:Path Integrals;Selberg Trace Formula;Quantum Chaos;Coordinate Systems;Homogeneous Spaces;Spaces of Non-Constant Curvature;Separation of VariablesKey Features:The 2nd edition brings the text up to date with new developments and results in the fieldContains enumeration of many explicit path integrals solutionsReviews: “This book is a good survey of results in a fascinating, highly geometrical, field in which much remains to be done.” Zentralblatt MATH
Path Integrals Hyperbolic Spaces And Selberg Trace Formulae
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Author : Christian Grosche
language : en
Publisher: World Scientific
Release Date : 1996
Path Integrals Hyperbolic Spaces And Selberg Trace Formulae written by Christian Grosche and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
In this volume, a comprehensive review is given for path integration in two- and three-dimensional homogeneous spaces of constant curvature, including an enumeration of all coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, and their use in mathematical physics and quantum chaos. The volume also contains results on the study of the properties of a particular integrable billiard system in the hyperbolic plane, a proposal concerning interbasis expansions for spheroidal coordinate systems in four-dimensional Euclidean space, and some further results derived from the Selberg (super-) trace formula.
Coherent States
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Author : D H Feng
language : en
Publisher: World Scientific
Release Date : 1994-05-26
Coherent States written by D H Feng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-26 with categories.
The book consists of lectures delivered at the International Symposium on Coherent States: Past, Present, and Future, held in Oak Ridge, Tennessee, June 14 – 17 1993. Both theoretical and experimental subjects are treated. Theoretical subjects dealt with include quantum optics, quantum chaos, condensed matter physics, nuclear physics, high energy physics and foundational issues such as quantum-classical connections and various semiclassical quantization schemes. Experimental topics dealt with principally concern atomic and molecular physics and especially lasers. Topics related to coherent states, most notably wavelets, are also included. Contents: Quantum Versus Classical Phase in Optical Systems (G S Agarwal)Coherent States: How Far Can One Go? (J-P Antoine)Orthonormal Bases of Coherent States: The Canonical Case and the axGroup (I Daubechies)Dynamics of Coherent States as the Diffusion Process: Schrödinger's System, Bernstein Processes, and Quantum Evolution (P Garbaczewski)Some Reflections on Coherence and Ion Trapping (R J Glauber)Coherent States, Chaos, and Information (E J Heller & S Tomsovic)Coherent States as a Tool for Obtaining Rigorous Bounds (E H Lieb)Classical-Quantum Correspondence in Time-Dependent Perturbation Theory (S M McRae & E R Vrscay)Asymptotic Coherence of Gluons and of q-Bosons (C A Nelson)Electron Nuclear Dynamics with Coherent States (Y Öhrn & E Deumens)Quantum Coherent Operators (J P Solovej)Classicalization and Coherent States (W-M Zhang & D H Feng)Post-Banquet Talk (A S Wightman)and other papers Readership: Theoretical and applied physicists and mathematicians.