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Group-Theoretic Methods in Mechanics and Applied Mathematics

2014-04-21 Mathematics
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Release : 2014-04-21
Genre : Mathematics
Kind : eBook
Book Rating : 222/5 ( reviews)

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Book Synopsis Group-Theoretic Methods in Mechanics and Applied Mathematics by : D.M. Klimov

Download or read book Group-Theoretic Methods in Mechanics and Applied Mathematics written by D.M. Klimov. This book was released on 2014-04-21. Available in PDF, EPUB and Kindle. Book excerpt: Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. For the first time, this book gives the systematic group analysis of main postulates of classical and relativistic mechanics. The consistent presentation of Lie group theory is illustrated by plentiful examples. Symmetries and conservat

Modern Group Theoretical Methods in Physics

2013-06-29 Science
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Release : 2013-06-29
Genre : Science
Kind : eBook
Book Rating : 431/5 ( reviews)

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Book Synopsis Modern Group Theoretical Methods in Physics by : J. Bertrand

Download or read book Modern Group Theoretical Methods in Physics written by J. Bertrand. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Group Theoretical Methods in Physics

2005-05-01 Mathematics
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Release : 2005-05-01
Genre : Mathematics
Kind : eBook
Book Rating : 086/5 ( reviews)

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Book Synopsis Group Theoretical Methods in Physics by : G.S Pogosyan

Download or read book Group Theoretical Methods in Physics written by G.S Pogosyan. This book was released on 2005-05-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics

2011-06-27 Mathematics
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Release : 2011-06-27
Genre : Mathematics
Kind : eBook
Book Rating : 501/5 ( reviews)

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Book Synopsis Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics by : N.H. Ibragimov

Download or read book Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics written by N.H. Ibragimov. This book was released on 2011-06-27. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the 150th anniversary of Sophus Lie, an International Work shop "Modern Group Analysis: advanced analytical and computational methods in mathematical physics" has been organized in Acireale (Catania, Sicily, October 27 31, 1992). The Workshop was aimed to enlighten the present state ofthis rapidly expanding branch of applied mathematics. Main topics of the Conference were: • classical Lie groups applied for constructing invariant solutions and conservation laws; • conditional (partial) symmetries; • Backlund transformations; • approximate symmetries; • group analysis of finite-difference equations; • problems of group classification; • software packages in group analysis. The success of the Workshop was due to the participation of many experts in Group Analysis from different countries. This book consists of selected papers presented at the Workshop. We would like to thank the Scientific Committee for the generous support of recommending invited lectures and selecting the papers for this volume, as well as the members of the Organizing Committee for their help. The Workshop was made possible by the financial support of several sponsors that are listed below. It is also a pleasure to thank our colleague Enrico Gregorio for his invaluable help of this volume.

Group Theory In Physics: A Practitioner's Guide

2018-09-19 Science
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Release : 2018-09-19
Genre : Science
Kind : eBook
Book Rating : 623/5 ( reviews)

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Book Synopsis Group Theory In Physics: A Practitioner's Guide by : R Campoamor Strursberg

Download or read book Group Theory In Physics: A Practitioner's Guide written by R Campoamor Strursberg. This book was released on 2018-09-19. Available in PDF, EPUB and Kindle. Book excerpt: 'The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations … It is a great achievement that the authors found a balance.'zbMATHThis 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.

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