Foreword
Introduction
Abstract Groups
Representations of Point Groups
Composition of Representations and the Direct Products of Groups
Wigner's Theorem
Point Groups
Decomposition of a Reducible Representation into an Irreducible Representation
Space Groups and their Irreducible Representations
Classification of the Vibrational and Electronic States of a Crystal
Continuous Groups
Irreducible Representations of the Three-Dimensional Rotation Group
The Properties of Irreducible Representations of the Rotation Group
Some Applications of the Theory of Representation of the Rotation Group in Quantum Mechanics
Additional Degeneracy in a Spherically Symmetric Field
Permutation Groups
Symmetrized Powers of Representations
Symmetry Properties of Multi-Electron Wave Functions
Symmetry Properties of Wave Functions for a System of Identical Particles with Arbitrary Spins
Classification of the States of a Multi-Electron Atom
Applications of Group Theory to Problems Connected with the Perturbation Theory
Selection Rules
The Lorentz Group and its Irreducible Representations
The Dirac Equation
Appendix to Chapter 7
Bibliography
Index