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by M. I. Petrashen,J. L. Trifonov
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ISBN: 048647223X Dover Publications Price: $14.95 |
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Geared toward theoretical physicists, this advanced text explores the value of modern group-theoretical methods in quantum theory. It explains the theory of groups and their matrix representations, developing them to the level required for applications. The main focus rests upon point and space groups, with applications to electronic and vibrational states. 1969 edition.
Reprint of the MIT Press, Cambridge, Massachusetts, 1969 edition.
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Table of Contents for Applications of Group Theory in Quantum Mechanics
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