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Path Integrals And Coherent States Of Su2 And Su1 1
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Book Synopsis Path Integrals and Coherent States of SU(2) and SU(1,1) by : Akira Inomata
Download or read book Path Integrals and Coherent States of SU(2) and SU(1,1) written by Akira Inomata and published by World Scientific. This book was released on 1992 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Path Integrals From Pev To Tev: 50 Years After Feynman's Paper - Proceedings Of The Sixth International Conference by : Valerio Tognetti
Download or read book Path Integrals From Pev To Tev: 50 Years After Feynman's Paper - Proceedings Of The Sixth International Conference written by Valerio Tognetti and published by World Scientific. This book was released on 1999-04-01 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Methods For Physicists by : Danilo Babusci
Download or read book Mathematical Methods For Physicists written by Danilo Babusci and published by World Scientific. This book was released on 2019-10-02 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Journal of Physics A written by and published by . This book was released on 1998 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.
Download or read book Mathematical Reviews written by and published by . This book was released on 1996 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Path Integrals on Group Manifolds by : Wolfgang Tomé
Download or read book Path Integrals on Group Manifolds written by Wolfgang Tomé and published by World Scientific. This book was released on 1998-03-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantization of physical systems moving on group and symmetric spaces has been an area of active research over the past three decades. This book shows that it is possible to introduce a representation-independent propagator for a real, separable, connected and simply connected Lie group with irreducible, square-integrable representations. For a given set of kinematical variables this propagator is a single generalized function independent of any particular choice of fiducial vector and the irreducible representations of the Lie group generated by these kinematical variables, which nonetheless correctly propagates each element of a continuous representation based on the coherent states associated with these kinematical variables. Furthermore, the book shows that it is possible to construct regularized lattice phase space path integrals for a real, separable, connected and simply connected Lie group with irreducible, square-integrable representations, and although the configuration space is in general a multidimensional curved manifold, it is shown that the resulting lattice phase space path integral has the form of a lattice phase space path integral on a multidimensional flat manifold. Hence, a novel and extremely natural phase space path integral quantization is obtained for general physical systems whose kinematical variables are the generators of a connected and simply connected Lie group. This novel phase space path integral quantization is (a) exact, (b) more general than, and (c) free from the limitations of the previously considered path integral quantizations of free physical systems moving on group manifolds. To illustrate the general theory, a representation-independent propagator is explicitly constructed for SU(2) and the affine group. Contents:Mathematical PreludePhysical PreludeA Review of Some Means to Define Path Integrals on Group and Symmetric SpacesNotations and PreliminariesThe Representation Independent Propagator for a General Lie GroupClassical Limit of the Representation Independent PropagatorConclusion and OutlookContinuous Representation TheoryExact Lattice Calculations Readership: Physicists. Keywords:Global Analysis;Analysis on Manifolds [For Geometric Integration Theory];Spaces and Manifolds of Mappings;Quantum Mechanics (Feynman Path Integrals), Relativity, Fluid Dynamics;Quantum Theory;General Quantum Mechanics and Problems of Quantization;Path IntegralsReviews: “The author explains the theory clearly and the book is almost self-contained …” Contemporary Physics
Book Synopsis Commentationes Physico-mathematicae by :
Download or read book Commentationes Physico-mathematicae written by and published by . This book was released on 1990 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1993 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Studies in Lie and Quantum Algebras by : Demosthenes Ellinas
Download or read book Studies in Lie and Quantum Algebras written by Demosthenes Ellinas and published by . This book was released on 1990 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Springer Tracts in Modern Physics by :
Download or read book Springer Tracts in Modern Physics written by and published by . This book was released on 1998 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functional Integration by : Cécile Dewitt-Morette
Download or read book Functional Integration written by Cécile Dewitt-Morette and published by Springer. This book was released on 1997-09-30 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.
Book Synopsis A Modern Approach to Functional Integration by : John R. Klauder
Download or read book A Modern Approach to Functional Integration written by John R. Klauder and published by Springer Science & Business Media. This book was released on 2010-11-08 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.
Download or read book American Journal of Physics written by and published by . This book was released on 1999 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Letters written by and published by . This book was released on 2001 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: General physics, atomic physics, molecular physics, and solid state physics.
Book Synopsis Path Integrals on Group Manifolds by : Wolfgang Tom
Download or read book Path Integrals on Group Manifolds written by Wolfgang Tom and published by World Scientific. This book was released on 1998 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author explains the theory clearly and the book is almost self-contained Contemporary Physics, 2000
Download or read book Physical Review written by and published by . This book was released on 1995-09 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Green's Functions by : V. I. Yukalov
Download or read book Statistical Green's Functions written by V. I. Yukalov and published by Kingston, Ont. : Queen's University. This book was released on 1998 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
