Modern Group Theoretical Methods In Physics

Author : J. Bertrand,M. Flato,J.-P. Gazeau,M. Irac-Astaud,Daniel Sternheimer
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 43,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401585439

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Modern Group Theoretical Methods in Physics by J. Bertrand,M. Flato,J.-P. Gazeau,M. Irac-Astaud,Daniel Sternheimer Pdf

This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Université Denis Diderot (Paris, France) in January 1995. It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformation-quantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to up-to-date applications such as imaging and neuronal models. Audience: Researchers in mathematical physics.

Author : Wu-Ki Tung
Publisher : World Scientific
Page : 368 pages
File Size : 54,6 Mb
Release : 1985
Category : Science
ISBN : 9789971966560

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Group Theory in Physics by Wu-Ki Tung Pdf

An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems. Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained. A set of problems and solutions has been published in a separate booklet.

Author : Andrei N. Leznov,Mikhail V. Saveliev
Publisher : Birkhäuser
Page : 308 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034886383

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Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems by Andrei N. Leznov,Mikhail V. Saveliev Pdf

The book reviews a large number of 1- and 2-dimensional equations that describe nonlinear phenomena in various areas of modern theoretical and mathematical physics. It is meant, above all, for physicists who specialize in the field theory and physics of elementary particles and plasma, for mathe maticians dealing with nonlinear differential equations, differential geometry, and algebra, and the theory of Lie algebras and groups and their representa tions, and for students and post-graduates in these fields. We hope that the book will be useful also for experts in hydrodynamics, solid-state physics, nonlinear optics electrophysics, biophysics and physics of the Earth. The first two chapters of the book present some results from the repre sentation theory of Lie groups and Lie algebras and their counterpart on supermanifolds in a form convenient in what follows. They are addressed to those who are interested in integrable systems but have a scanty vocabulary in the language of representation theory. The experts may refer to the first two chapters only occasionally. As we wanted to give the reader an opportunity not only to come to grips with the problem on the ideological level but also to integrate her or his own concrete nonlinear equations without reference to the literature, we had to expose in a self-contained way the appropriate parts of the representation theory from a particular point of view.

Author : Chengming Bai,Jean-Pierre Gazeau,Mo-Lin Ge
Publisher : World Scientific
Page : 664 pages
File Size : 42,5 Mb
Release : 2013-07-26
Category : Mathematics
ISBN : 9789814518567

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Symmetries and Groups in Contemporary Physics by Chengming Bai,Jean-Pierre Gazeau,Mo-Lin Ge Pdf

This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics. Contents:The Wigner MedalThe Hermann Weyl PrizePlenary SessionParallel Sessions:Nonlinear SciencesQuantum AlgebrasSuperintegrable HamiltoniansApplications in BiologyQuantum Information and Representation TheoryFinite Quantum Systems and Combinatorial PhysicsSymmetries in String Theory and SupergravityLoop Quantum GravityTensor and Group Field Theories for Quantum GravityConformal Field TheoriesSupersymmetry and Quantum GroupsApplications in Particle and Nuclear PhysicsGeneral Quantum Mechanics and Its Mathematical Methods Involving Group TheoryPoster Session Readership: Researchers and specialists in group theory and its applications to mathematics, physics and other fields in natural science. Keywords:Symmetries;Group Theory;Quantum Physics;Coherent States;Quantum Information;Nonlinear Physics;Supersymmetry;Quantum Gravity;Strings;Conformal Fields;Tensor Fields;Mathematical Biology;Particle Physics;Quantum Algebras;Foundations Of Quantum Mechanics;Combinatorial PhysicsKey Features:Wide range of topics in theoretical and mathematical physicsContains the most recent developments in innovative fields like quantum information, physics and biology, quantum gravity (e.g., strings, loop, tensor fields approaches), combinatorial physicsCross-sectional view of these developments given by prominent specialists, be they promising young scientists (e.g. Gurau, Chiribella, etc.) or confirmed researchers (e.g., Lewandowski, Batchelor, Wang, Murakami, Busch, etc.)

Author : Chengming Bai
Publisher : World Scientific
Page : 665 pages
File Size : 42,7 Mb
Release : 2013
Category : Mathematics
ISBN : 9789814518550

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Symmetries and Groups in Contemporary Physics by Chengming Bai Pdf

This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics.

Author : International Colloquium on Group Theoretical Methods in Physics
Publisher : Unknown
Page : 629 pages
File Size : 51,8 Mb
Release : 1980
Category : Electronic
ISBN : OCLC:902172982

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Group Theoretical Methods in Physics by International Colloquium on Group Theoretical Methods in Physics Pdf

Author : Giulio Racah
Publisher : Unknown
Page : 482 pages
File Size : 51,8 Mb
Release : 1968
Category : Group theory
ISBN : OSU:32435010699387

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Spectroscopic and Group Theoretical Methods in Physics by Giulio Racah Pdf

Author : Robert Shar
Publisher : Elsevier
Page : 685 pages
File Size : 45,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323141529

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Group Theoretical Methods in Physics by Robert Shar Pdf

Group Theoretical Methods in Physics: Proceedings of the Fifth International Colloquium provides information pertinent to the fundamental aspects of group theoretical methods in physics. This book provides a variety of topics, including nuclear collective motion, complex Riemannian geometry, quantum mechanics, and relativistic symmetry. Organized into six parts encompassing 64 chapters, this book begins with an overview of the theories of nuclear quadrupole dynamics. This text then examines the conventional approach in the determination of superstructures. Other chapters consider the Hamiltonian formalism and how it is applied to the KdV equation and to a slight variant of the KdV equation. This book discusses as well the significant differential equations of mathematical physics that are integrable Hamiltonian systems, including the equations governing self-induced transparency and the motion of particles under an inverse square potential. The final chapter deals with the decomposition of the tensor product of two irreducible representations of the symmetric group into a direct sum of irreducible representations. This book is a valuable resource for physicists.

Author : Traubenberg M Rausch De,Strursberg R Campoamor
Publisher : World Scientific
Page : 760 pages
File Size : 54,9 Mb
Release : 2018-09-19
Category : Science
ISBN : 9789813273627

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Group Theory In Physics: A Practitioner's Guide by Traubenberg M Rausch De,Strursberg R Campoamor Pdf

This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.

Author : Gallieno Denardo
Publisher : Unknown
Page : 128 pages
File Size : 44,5 Mb
Release : 1984
Category : Electronic
ISBN : OCLC:37030283

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Group Theoretical Methods in Physics by Gallieno Denardo Pdf

Author : Wu-Ki Tung
Publisher : World Scientific Publishing Company
Page : 336 pages
File Size : 49,8 Mb
Release : 1985-08-31
Category : Representations of groups
ISBN : 9789813104044

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Group Theory in Physics by Wu-Ki Tung Pdf

An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems. Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained. A set of problems and solutions has been published in a separate booklet. Request Inspection Copy

Author : M. I. Petrashen,J. L. Trifonov
Publisher : Courier Corporation
Page : 338 pages
File Size : 40,7 Mb
Release : 2013-01-03
Category : Science
ISBN : 9780486172729

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Applications of Group Theory in Quantum Mechanics by M. I. Petrashen,J. L. Trifonov Pdf

Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.

Author : Wu-Ki Tung
Publisher : World Scientific
Page : 372 pages
File Size : 44,7 Mb
Release : 1985
Category : Science
ISBN : 9971966573

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Group Theory in Physics by Wu-Ki Tung Pdf

An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems.Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry.Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained.A set of problems and solutions has been published in a separate booklet.

Author : G.S Pogosyan,L.E Vincent,K.B Wolf
Publisher : CRC Press
Page : 630 pages
File Size : 51,6 Mb
Release : 2005-05-01
Category : Mathematics
ISBN : 0750310081

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Group Theoretical Methods in Physics by G.S Pogosyan,L.E Vincent,K.B Wolf Pdf

Symmetry is permeating our understanding of nature: Group theoretical methods of intrinsic interest to mathematics have expanded their applications from physics to chemistry and biology. The ICGTMP Colloquia maintain the communication among the many branches into which this endeavor has bloomed. Lie group and representation theory, special functions, foundations of quantum mechanics, and elementary particle, nuclear, atomic, and molecular physics are among the traditional subjects. More recent areas include supersymmetry, superstrings and quantum gravity, integrability, nonlinear systems and quantum chaos, semigroups, time asymmetry and resonances, condensed matter, and statistical physics. Topics such as linear and nonlinear optics, quantum computing, discrete systems, and signal analysis have only in the last few years become part of the group theorists' turf. In Group Theoretical Methods in Physics, readers will find both review contributions that distill the state of the art in a broad field, and articles pointed to specific problems, in many cases, preceding their formal publication in the journal literature.

Author : Moiseĭ Aleksandrovich Markov,Vladimir Ivanovich Mano,Victor V. Dodonov
Publisher : VSP
Page : 722 pages
File Size : 46,6 Mb
Release : 1986-12
Category : Science
ISBN : 9067640700

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Group Theoretical Methods in Physics by Moiseĭ Aleksandrovich Markov,Vladimir Ivanovich Mano,Victor V. Dodonov Pdf

These Proceedings cover various topics in modern physics in which group theoretical methods can be applied effectively. The two volumes, containing over 100 papers, cover such areas as representation theory, the theory and applications of dynamical symmetries and coherent states, symmetries in atomic, molecular, nuclear and elementary particle physics, field theory including gauge theories, supersymmetry and supergravity, general relativity and cosmology, the theory of space groups and its applications to solid state physics and phase transitions, the problems of quantum and classical mechanics and paraxial optics, and the theory of nonlinear equations and solitons.