Groups, Representations and Physics - Brossura

Jones, H.F.

Brossura

ISBN 10: 0750305045 ISBN 13: 9780750305044

Casa editrice: CRC Press, 1998

Riassunto

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.

Su questo libro

Contenuti:

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

Product Description:

Book by Jones HF

Su questa edizione

• Editore: CRC Press
• Data di pubblicazione: 1998
• ISBN 10: 0750305045
• ISBN 13: 9780750305044
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 344