Groups Representations And Physics

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Groups, Representations and Physics

H.F Jones
Groups Representations and Physics Book PDF

Author : H.F Jones
Publisher : CRC Press
Page : 348 pages
File Size : 47,6 Mb
Release : 2020-07-14
Category : Mathematics
ISBN : 142005029X

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Groups, Representations and Physics by H.F Jones Pdf

Illustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness and widened its appeal by adding a chapter on the Cartan-Dynkin treatment of Lie algebras. This treatment, a generalization of the method of raising and lowering operators used for the rotation group, leads to a systematic classification of Lie algebras and enables one to enumerate and construct their irreducible representations. Taking an approach that allows physics students to recognize the power and elegance of the abstract, axiomatic method, the book focuses on chapters that develop the formalism, followed by chapters that deal with the physical applications. It also illustrates formal mathematical definitions and proofs with numerous concrete examples.

Groups, Representations and Physics

H.F Jones
Groups Representations and Physics Book PDF

Author : H.F Jones
Publisher : CRC Press
Page : 326 pages
File Size : 44,6 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 0750305045

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Groups, Representations and Physics by H.F Jones Pdf

Illustrating the fascinating interplay between physics and mathematics, this book provides a solid grounding in the theory of groups, and particularly of group representations. It gives the reader a firm grasp of the basics to enable further study.

Quantum Theory, Groups and Representations

Peter Woit
Quantum Theory Groups and Representations Book PDF

Author : Peter Woit
Publisher : Springer
Page : 668 pages
File Size : 51,8 Mb
Release : 2017-11-01
Category : Science
ISBN : 9783319646121

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Quantum Theory, Groups and Representations by Peter Woit Pdf

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

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 : 55,6 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.

Quantum Groups and Their Representations

Anatoli Klimyk,Konrad Schmüdgen
Quantum Groups and Their Representations Book PDF

Author : Anatoli Klimyk,Konrad Schmüdgen
Publisher : Springer Science & Business Media
Page : 568 pages
File Size : 45,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642608964

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Quantum Groups and Their Representations by Anatoli Klimyk,Konrad Schmüdgen Pdf

This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.

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 : 54,8 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.

Groups, Representations, and Physics

Hugh F. Jones
Groups Representations and Physics Book PDF

Author : Hugh F. Jones
Publisher : Institute of Physics Publishing (GB)
Page : 0 pages
File Size : 48,5 Mb
Release : 1998
Category : Continuous groups
ISBN : 0750305053

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Groups, Representations, and Physics by Hugh F. Jones Pdf

Illustrating the fascinating interplay between physics and mathematics, this book provides a solid grounding in the theory of groups, and particularly of group representations. It gives the reader a firm grasp of the basics to enable further study.

Theory of Group Representations and Applications

A Barut,R Raczka
Theory of Group Representations and Applications Book PDF

Author : A Barut,R Raczka
Publisher : World Scientific Publishing Company
Page : 740 pages
File Size : 48,7 Mb
Release : 1986-11-01
Category : Mathematics
ISBN : 9789813103870

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Theory of Group Representations and Applications by A Barut,R Raczka Pdf

The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be useful in many areas of research. It is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations. Request Inspection Copy

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 : 52,5 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

Group Theory

Mildred S. Dresselhaus,Gene Dresselhaus,Ado Jorio
Group Theory Book PDF

Author : Mildred S. Dresselhaus,Gene Dresselhaus,Ado Jorio
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 49,8 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.

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 : 54,8 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 Representation Theory for Physicists

Jin-Quan Chen,Jialun Ping,Fan Wang
Group Representation Theory for Physicists Book PDF

Author : Jin-Quan Chen,Jialun Ping,Fan Wang
Publisher : World Scientific Publishing Company
Page : 600 pages
File Size : 41,7 Mb
Release : 2002-08-15
Category : Science
ISBN : 9789813106000

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Group Representation Theory for Physicists by Jin-Quan Chen,Jialun Ping,Fan Wang Pdf

This book introduces systematically the eigenfunction method, a new approach to the group representation theory which was developed by the authors in the 1970's and 1980's in accordance with the concept and method used in quantum mechanics. It covers the applications of the group theory in various branches of physics and quantum chemistry, especially nuclear and molecular physics. Extensive tables and computational methods are presented. Group Representation Theory for Physicists may serve as a handbook for researchers doing group theory calculations. It is also a good reference book and textbook for undergraduate and graduate students who intend to use group theory in their future research careers.

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 : 48,9 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 in Physics

Wu-Ki Tung
Group Theory in Physics Book PDF

Author : Wu-Ki Tung
Publisher : World Scientific Publishing Company
Page : 336 pages
File Size : 52,7 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

Symmetries and Group Theory in Particle Physics

Giovanni Costa,Gianluigi Fogli
Symmetries and Group Theory in Particle Physics Book PDF

Author : Giovanni Costa,Gianluigi Fogli
Publisher : Springer
Page : 291 pages
File Size : 48,6 Mb
Release : 2012-02-03
Category : Science
ISBN : 9783642154829

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Symmetries and Group Theory in Particle Physics by Giovanni Costa,Gianluigi Fogli Pdf

Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.