附註:Includes bibliographical references (pages 291-292) and index.
Chapter 1 Introduction -- chapter 2 General Properties of Groups and Mappings -- chapter 3 Group Representations -- chapter 4 Properties of Irreducible Representations -- chapter 5 Physical Applications -- chapter 6 Continuous Groups (SO(N)) -- chapter 7 Further Applications -- chapter 8 The SU(N) Groups and Particle Physics -- chapter 9 General Treatment of Simple Lie Groups -- chapter 10 Representations of the Poincare Group -- chapter 11 Gauge Groups -- chapter AppendixA Dirac Notation in Quantum Mechanics -- chapter AppendixB Eigenstates of Angular Momentum in Quantum Mechanics -- chapter AppendixC Group-invariant Measure for SO(3) -- chapter AppendixD Calculation of roots for SO(n) and Sp(2r) -- chapter AppendixE Covariant Normalization and Relativistic Scattering -- chapter AppendixF Lagrangian Mechanics -- chapter Problem Solutions -- chapter Glossary of Mathematical Symbols -- chapter 1. 1 Symmetry in physics; groups and representations.
摘要: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.