Applications Of Group Theory In Physics And Mathematical Physics

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Applications of Group Theory in Physics and Mathematical Physics

MoshŽ Flato,Paul Sally,Gregg Zuckerman
Applications of Group Theory in Physics and Mathematical Physics Book PDF

Author : MoshŽ Flato,Paul Sally,Gregg Zuckerman
Publisher : American Mathematical Soc.
Page : 436 pages
File Size : 51,6 Mb
Release : 1985-12-31
Category : Science
ISBN : 0821896865

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Applications of Group Theory in Physics and Mathematical Physics by MoshŽ Flato,Paul Sally,Gregg Zuckerman Pdf

The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest. This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.

The Application of Group Theory in Physics

G.Ya. Lyubarskii
The Application of Group Theory in Physics Book PDF

Author : G.Ya. Lyubarskii
Publisher : Elsevier
Page : 392 pages
File Size : 48,7 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483225982

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The Application of Group Theory in Physics by G.Ya. Lyubarskii Pdf

The Application of Group Theory in Physics is a 17-chapter text based on a course of lectures concerning the principles, concepts, and application of group theory in physics, given at the Gorki University in Kharkov. This text presents first the parts of the theory of representations of finite and continuous groups that are most important in application. Considerable chapters cover the groups of theory of interest in theoretical physics and demonstrate the principles according to which the abstract concepts and the theorems of representation theory are applied in theoretical physics. The remaining chapters provide representations of the rotation group and the Lorentz group. The closing part of this work contains tables of the detailed description of the 230 space groups and for the characters of certain groups. This book is intended primarily for physicists specializing in theoretical physics

Group Theory and Physics

Shlomo Sternberg,S. Sternberg
Group Theory and Physics Book PDF

Author : Shlomo Sternberg,S. Sternberg
Publisher : Cambridge University Press
Page : 456 pages
File Size : 55,7 Mb
Release : 1995-09-07
Category : Mathematics
ISBN : 0521558859

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Group Theory and Physics by Shlomo Sternberg,S. Sternberg Pdf

This textbook, based on courses taught at Harvard University, is an introduction to group theory and its application to physics. The physical applications are considered as the mathematical theory is developed so that the presentation is unusually cohesive and well-motivated. Many modern topics are dealt with, and there is much discussion of the group SU(n) and its representations. This is of great significance in elementary particle physics. Applications to solid state physics are also considered. This stimulating account will prove to be an essential resource for senior undergraduate students and their teachers.

Group Theory for Physicists

Pichai Ramadevi,Varun Dubey
Group Theory for Physicists Book PDF

Author : Pichai Ramadevi,Varun Dubey
Publisher : Cambridge University Press
Page : 175 pages
File Size : 54,7 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.

Group Theory and Its Application to Physical Problems

Morton Hamermesh
Group Theory and Its Application to Physical Problems Book PDF

Author : Morton Hamermesh
Publisher : Courier Corporation
Page : 548 pages
File Size : 48,7 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486140391

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Group Theory and Its Application to Physical Problems by Morton Hamermesh Pdf

One of the best-written, most skillful expositions of group theory and its physical applications, directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. With problems.

Group Theory and Its Applications in Physics

Teturo Inui,Yukito Tanabe,Yositaka Onodera
Group Theory and Its Applications in Physics Book PDF

Author : Teturo Inui,Yukito Tanabe,Yositaka Onodera
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642800214

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Group Theory and Its Applications in Physics by Teturo Inui,Yukito Tanabe,Yositaka Onodera Pdf

This book has been written to introduce readers to group theory and its ap plications in atomic physics, molecular physics, and solid-state physics. The first Japanese edition was published in 1976. The present English edi tion has been translated by the authors from the revised and enlarged edition of 1980. In translation, slight modifications have been made in. Chaps. 8 and 14 to update and condense the contents, together with some minor additions and improvements throughout the volume. The authors cordially thank Professor J. L. Birman and Professor M. Car dona, who encouraged them to prepare the English translation. Tokyo, January 1990 T. Inui . Y. Tanabe Y. Onodera Preface to the Japanese Edition As the title shows, this book has been prepared as a textbook to introduce readers to the applications of group theory in several fields of physics. Group theory is, in a nutshell, the mathematics of symmetry. It has three main areas of application in modern physics. The first originates from early studies of crystal morphology and constitutes a framework for classical crystal physics. The analysis of the symmetry of tensors representing macroscopic physical properties (such as elastic constants) belongs to this category. The sec ond area was enunciated by E. Wigner (1926) as a powerful means of handling quantum-mechanical problems and was first applied in this sense to the analysis of atomic spectra. Soon, H.

Group Theory in Physics

Wu-Ki Tung
Group Theory in Physics Book PDF

Author : Wu-Ki Tung
Publisher : World Scientific
Page : 368 pages
File Size : 46,9 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.

Group Theory

Eugene P. Wigner
Group Theory Book PDF

Author : Eugene P. Wigner
Publisher : Elsevier
Page : 384 pages
File Size : 48,7 Mb
Release : 2013-09-03
Category : Science
ISBN : 9781483275765

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Group Theory by Eugene P. Wigner Pdf

Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mechanics with particular reference to atomic spectra. The manuscript first takes a look at vectors and matrices, generalizations, and principal axis transformation. Topics include principal axis transformation for unitary and Hermitian matrices; unitary matrices and the scalar product; linear independence of vectors; and real orthogonal and symmetric matrices. The publication also ponders on the elements of quantum mechanics, perturbation theory, and transformation theory and the bases for the statistical interpretation of quantum mechanics. The book discusses abstract group theory and invariant subgroups, including theorems of finite groups, factor group, and isomorphism and homomorphism. The text also reviews the algebra of representation theory, rotation groups, three-dimensional pure rotation group, and characteristics of atomic spectra. Discussions focus on eigenvalues and quantum numbers, spherical harmonics, and representations of the unitary group. The manuscript is a valuable reference for readers interested in the applications of group theoretical methods.

Group Theory In Physics: A Practitioner's Guide

Traubenberg M Rausch De,Strursberg R Campoamor
Group Theory In Physics A Practitioner s Guide Book PDF

Author : Traubenberg M Rausch De,Strursberg R Campoamor
Publisher : World Scientific
Page : 760 pages
File Size : 42,7 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.

Applications of the Theory of Groups in Mechanics and Physics

Petre P. Teodorescu,Nicolae-A.P. Nicorovici
Applications of the Theory of Groups in Mechanics and Physics Book PDF

Author : Petre P. Teodorescu,Nicolae-A.P. Nicorovici
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 50,6 Mb
Release : 2004-04-30
Category : Mathematics
ISBN : 9781402020476

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Applications of the Theory of Groups in Mechanics and Physics by Petre P. Teodorescu,Nicolae-A.P. Nicorovici Pdf

The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non contradictory formulations for the investigated phenomena.

Group Theory in Physics

John F. Cornwell
Group Theory in Physics Book PDF

Author : John F. Cornwell
Publisher : Academic Press
Page : 361 pages
File Size : 40,7 Mb
Release : 1997-07-11
Category : Science
ISBN : 9780080532660

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Group Theory in Physics by John F. Cornwell Pdf

This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics. The book provides anintroduction to and description of the most important basic ideas and the role that they play in physical problems. The clearly written text contains many pertinent examples that illustrate the topics, even for those with no background in group theory.This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition. Covers both group theory and the theory of Lie algebras Includes studies of solid state physics, atomic physics, and fundamental particle physics Contains a comprehensive index Provides extensive examples

Problems & Solutions in Group Theory for Physicists

Zhong-Qi Ma,Xiao-Yan Gu
Problems Solutions in Group Theory for Physicists Book PDF

Author : Zhong-Qi Ma,Xiao-Yan Gu
Publisher : World Scientific
Page : 480 pages
File Size : 42,5 Mb
Release : 2004
Category : Science
ISBN : 9812388338

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Problems & Solutions in Group Theory for Physicists by Zhong-Qi Ma,Xiao-Yan Gu Pdf

This book is aimed at graduate students and young researchers in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory. This book is also suitable for some graduate students in theoretical chemistry.

Group Theory for Physicists

Zhongqi Ma
Group Theory for Physicists Book PDF

Author : Zhongqi Ma
Publisher : World Scientific
Page : 512 pages
File Size : 45,5 Mb
Release : 2007
Category : Science
ISBN : 9789812771414

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Group Theory for Physicists by Zhongqi Ma Pdf

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.

Symmetry

R. McWeeny
Symmetry Book PDF

Author : R. McWeeny
Publisher : Elsevier
Page : 262 pages
File Size : 45,7 Mb
Release : 2013-09-03
Category : Mathematics
ISBN : 9781483226248

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Symmetry by R. McWeeny Pdf

Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.

Applications of Group Theory in Quantum Mechanics

M. I. Petrashen,J. L. Trifonov
Applications of Group Theory in Quantum Mechanics Book PDF

Author : M. I. Petrashen,J. L. Trifonov
Publisher : Courier Corporation
Page : 338 pages
File Size : 49,9 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.