Group Theoretical Methods And Their Applications

Author : E. Stiefel,A. Fässler
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 42,7 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 : Albert Fässler,Eduard L. Stiefel
Publisher : Unknown
Page : 296 pages
File Size : 55,9 Mb
Release : 1992
Category : Lie algebras
ISBN : 3764335270

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Group Theoretical Methods and Their Applications by Albert Fässler,Eduard L. Stiefel Pdf

Author : Shoon K. Kim
Publisher : Cambridge University Press
Page : 512 pages
File Size : 46,7 Mb
Release : 1999-06-24
Category : Mathematics
ISBN : 9780521640626

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Group Theoretical Methods and Applications to Molecules and Crystals by Shoon K. Kim Pdf

From the pioneering author in the field, this book is ideal for condensed matter physicists and physical chemists.

Author : V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 45,8 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 : Ken-ichi Kanatani
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642612756

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Group-Theoretical Methods in Image Understanding by Ken-ichi Kanatani Pdf

Image understanding is an attempt to extract knowledge about a 3D scene from 20 images. The recent development of computers has made it possible to automate a wide range of systems and operations, not only in the industry, military, and special environments (space, sea, atomic plants, etc.), but also in daily life. As we now try to build ever more intelligent systems, the need for "visual" control has been strongly recognized, and the interest in image under standing has grown rapidly. Already, there exists a vast body of literature-ranging from general philosophical discourses to processing techniques. Compared with other works, however, this book may be unique in that its central focus is on "mathematical" principles-Lie groups and group representation theory, in particular. In the study of the relationship between the 3D scene and the 20 image, "geometry" naturally plays a central role. Today, so many branches are inter woven in geometry that we cannot truly regard it as a single subject. Neverthe less, as Felix Klein declared in his Erlangen Program, the central principle of geometry is group theory, because geometrical concepts are abstractions of properties that are "invariant" with respect to some group of transformations. In this text, we specifically focus on two groups of transformations. One is 20 rotations of the image coordinate system around the image origin. Such coordi nate rotations are indeed irrelevant when we look for intrinsic image properties.

Author : G.S Pogosyan,L.E Vincent,K.B Wolf
Publisher : CRC Press
Page : 300 pages
File Size : 54,5 Mb
Release : 2005-05-01
Category : Mathematics
ISBN : 9781482269185

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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 function

Author : J. P. Draayer,Jutta Escher
Publisher : World Scientific
Page : 285 pages
File Size : 49,6 Mb
Release : 2004
Category : Science
ISBN : 9789812703026

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Computational and Group-Theoretical Methods in Nuclear Physics by J. P. Draayer,Jutta Escher Pdf

The symposium OC Computational and Group-Theoretical Methods in Nuclear PhysicsOCO was organized to celebrate the 60th birthday of Jerry P Draayer, who is Professor of Physics, Lousiana State University, and President of the Southeastern Universities Research Association (SURA). The focus of the meeting was on computational and algebraic approaches to the nuclear many-body problem. The presentations highlighted recent experimental and theoretical developments in nuclear structure physics. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."

Author : M. A. Markov,A. E. Shabad
Publisher : CRC Press
Page : 746 pages
File Size : 55,9 Mb
Release : 1985
Category : Science
ISBN : 3718602458

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Group Theoretical Methods in Physics by M. A. Markov,A. E. Shabad Pdf

Author : Jutta Escher,Octavio Castaños,Jorge G Hirsch,Stuart Pittel,Gergana Stoitcheva
Publisher : World Scientific
Page : 284 pages
File Size : 44,7 Mb
Release : 2004-02-13
Category : Science
ISBN : 9789814485081

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Computational and Group-Theoretical Methods in Nuclear Physics by Jutta Escher,Octavio Castaños,Jorge G Hirsch,Stuart Pittel,Gergana Stoitcheva Pdf

The symposium “Computational and Group-Theoretical Methods in Nuclear Physics” was organized to celebrate the 60th birthday of Jerry P Draayer, who is Professor of Physics, Lousiana State University, and President of the Southeastern Universities Research Association (SURA). The focus of the meeting was on computational and algebraic approaches to the nuclear many-body problem. The presentations highlighted recent experimental and theoretical developments in nuclear structure physics. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:SU(3) and Symplectic Models and Their ApplicationsRandom HamiltoniansPseudo-Spin in Nuclear PhysicsCollective PhenomenaComputational Physics and Large-Scale Nuclear ModelsMathematical PhysicsSpecial Topics Readership: Graduate students and researchers in nuclear physics. Keywords:Nuclear Structure Physics;Nuclear Models;Group Theory;Mathematical Physics;Computational Methods in Physics

Author : Shoon K. Kim
Publisher : Cambridge University Press
Page : 512 pages
File Size : 46,6 Mb
Release : 2005-09-29
Category : Science
ISBN : 0521020387

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Group Theoretical Methods and Applications to Molecules and Crystals by Shoon K. Kim Pdf

This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using a unique approach developed by the author. This approach includes working out symmetry groups and their representations, eliminating the undue abstract nature of group theoretical methods. The author has systematized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. He reconstructs space groups, unitary as well as antiunitary, based on the algebraic defining relations of the point groups. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures.

Author : Moiseĭ Aleksandrovich Markov,Vladimir Ivanovich Mano,Victor V. Dodonov
Publisher : VSP
Page : 722 pages
File Size : 52,6 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.

Author : J. Bertrand,M. Flato,J.-P. Gazeau,M. Irac-Astaud,Daniel Sternheimer
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 46,5 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 : Jörg Volkmann
Publisher : Cuvillier Verlag
Page : 153 pages
File Size : 43,6 Mb
Release : 2007
Category : Electronic
ISBN : 9783867274227

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Exhaust Systems' Models Investigation by Theoretical Group Methods by Jörg Volkmann Pdf

Author : Robert Shar
Publisher : Elsevier
Page : 685 pages
File Size : 43,8 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 : Pichai Ramadevi,Varun Dubey
Publisher : Cambridge University Press
Page : 175 pages
File Size : 53,9 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.