Groups, Representations And Physics / Edition 2

Groups, Representations And Physics / Edition 2

by H.F Jones
     
 

ISBN-10: 0750305045

ISBN-13: 9780750305044

Pub. Date: 09/05/2000

Publisher: Taylor & Francis

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

Overview

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.

Product Details

ISBN-13:
9780750305044
Publisher:
Taylor & Francis
Publication date:
09/05/2000
Edition description:
New Edition
Pages:
340
Sales rank:
1,064,791
Product dimensions:
6.10(w) x 9.10(h) x 0.90(d)

Table of Contents

Introduction

General Properties of Groups and Mappings
Group Representations
Properties of Irreducible Representations
Physical Applications
Continuous Groups (SO(N))
Further Applications
The SU(N) Groups and Particle Physics
General Treatment of Simple Lie Groups
Representations of the Poincaré Groups
Gauge Groups

Appendix A: Dirac Notion in Quantum Mechanics
Appendix B: Eigenstates of Angular Momentum in Quantum Mechanics
Appendix C: Group-Invariant Measure for SO(3)
Appendix D: Calculation of Roots for SO(n) and Sp(2r)
Appendix E: Covariant Normalization and Relativistic Scattering
Appendix F: Lagrangian Mechanics

Glossary of Mathematical Symbols
Bibliography
Problem Solutions
Index

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