Group Theoretical Methods In Physics

Author : Robert Shar
Publisher : Elsevier
Page : 685 pages
File Size : 51,5 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 : G.S Pogosyan,L.E Vincent,K.B Wolf
Publisher : CRC Press
Page : 630 pages
File Size : 49,5 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 : Giulio Racah
Publisher : Unknown
Page : 482 pages
File Size : 54,5 Mb
Release : 1968
Category : Group theory
ISBN : UOM:39015053947241

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Spectroscopic and Group Theoretical Methods in Physics by Giulio Racah Pdf

Author : Andrei N. Leznov,Mikhail V. Saveliev
Publisher : Birkhäuser
Page : 308 pages
File Size : 43,6 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 : Y. Saint-Aubin,Luc Vinet
Publisher : World Scientific Publishing Company
Page : 800 pages
File Size : 45,5 Mb
Release : 1989
Category : Group theory
ISBN : UCAL:B4179077

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XVIIth International Colloquium on Group Theoretical Methods in Physics by Y. Saint-Aubin,Luc Vinet Pdf

Author : J. Bertrand,M. Flato,J.-P. Gazeau,M. Irac-Astaud,Daniel Sternheimer
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 47,8 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 : V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 45,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401707459

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Applications of Group-Theoretical Methods in Hydrodynamics by V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov Pdf

It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a coincidence that the equations of hydrodynamics served as the first object for applying the new ideas and methods of group analysis which were developed by 1. V. Ovsyannikov and his school. The authors rank themselves as disciples of the school. The present monograph deals mainly with group-theoretic classification of the equations of hydrodynamics in the presence of planar and rotational symmetry and also with construction of exact solutions and their physical interpretation. It is worth noting that the concept of exact solution to a differential equation is not defined rigorously; different authors understand it in different ways. The concept of exact solution expands along with the progress of mathematics (solu tions in elementary functions, in quadratures, and in special functions; solutions in the form of convergent series with effectively computable terms; solutions whose searching reduces to integrating ordinary differential equations; etc. ). We consider it justifiable to enrich the set of exact solutions with rank one and rank two in variant and partially invariant solutions to the equations of hydrodynamics.

Author : Wu-Ki Tung
Publisher : World Scientific
Page : 368 pages
File Size : 48,7 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 : E. Stiefel,A. Fässler
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461203957

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Group Theoretical Methods and Their Applications by E. Stiefel,A. Fässler Pdf

X system Ib-TEX. I wish to thank her for the beautiful work and the numerous discussions on the contents of this book. I am indebted to Peter Fassler, Neu-Technikum Buchs, Switzerland, for drafting the figures, to my students Kurt Rothermann and Stefan Strahl for computer enhancing and labeling the graphics, to Pascal Felder and Markus Wittwer for a simulation program that generated the figures in the stochastics sections. My thanks go to my new colleague at work, Daniel Neuenschwander, for the inspiring discussions related to the section in stochastics and for reading the manuscript to it. I am also grateful to Dacfey Dzung for reading the whole manuscript. Thanks go especially to Professor \Valter Gander of ETH, Zurich, who at the finishing stage and as an expert of 'JEXgenerously invested numerous hours to assist us in solving software as well as hardware problems; thanks go also to Martin Muller, Ingenieurschule Biel, who made the final layout of this book on the NeXT computer. Thanks are also due to Helmut Kopka of the Max Planck Institute, for solving software problems, and to Professor Burchard Kaup of the Uni versity of Fribourg, Switzerland for adding some useful software; also to Birkhauser Boston Inc. for the pleasant co-operation. Finally, let me be reminiscent of Professor E. Stiefel (deceased 1978) with whom I had many interesting discussions and true co-operation when writing the book in German.

Author : International Colloquium on Group Theoretical Methods in Physics
Publisher : Unknown
Page : 629 pages
File Size : 45,6 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 : Mildred S. Dresselhaus,Gene Dresselhaus,Ado Jorio
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 52,9 Mb
Release : 2007-12-18
Category : Science
ISBN : 9783540328995

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Group Theory by Mildred S. Dresselhaus,Gene Dresselhaus,Ado Jorio Pdf

This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.

Author : Gallieno Denardo
Publisher : Unknown
Page : 128 pages
File Size : 46,5 Mb
Release : 1984
Category : Electronic
ISBN : OCLC:37030283

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Group Theoretical Methods in Physics by Gallieno Denardo Pdf

Author : Traubenberg M Rausch De,Strursberg R Campoamor
Publisher : World Scientific
Page : 760 pages
File Size : 45,7 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 : Pichai Ramadevi,Varun Dubey
Publisher : Cambridge University Press
Page : 175 pages
File Size : 54,6 Mb
Release : 2019-12-12
Category : Science
ISBN : 9781108429474

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Group Theory for Physicists by Pichai Ramadevi,Varun Dubey Pdf

Covers two important aspects of group theory namely discrete groups and Lie groups.

Author : Esko Keski-Vakkuri,Claus Montonen,Marco Panero
Publisher : Cambridge University Press
Page : 369 pages
File Size : 45,6 Mb
Release : 2022-11-30
Category : Mathematics
ISBN : 9781107191136

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Mathematical Methods for Physics by Esko Keski-Vakkuri,Claus Montonen,Marco Panero Pdf

This detailed yet accessible text introduces the advanced mathematical methods at the core of theoretical physics. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering.