Group Theory and Quantum Mechanics

Group Theory and Quantum Mechanics

Paperback Dover Books on Chemistry

By (author) Michael Tinkham

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  • Publisher: Dover Publications Inc.
  • Format: Paperback | 352 pages
  • Dimensions: 135mm x 213mm x 18mm | 363g
  • Publication date: 1 January 2004
  • Publication City/Country: New York
  • ISBN 10: 0486432475
  • ISBN 13: 9780486432472
  • Illustrations note: 49 figs., 33 tables
  • Sales rank: 185,932

Product description

This graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms, molecules, and solids. The formal theory of finite groups and their representation is developed in Chapters 1 through 4 and illustrated by examples from the crystallographic point groups basic to solid-state and molecular theory. Chapter 5 is devoted to the theory of systems with full rotational symmetry, Chapter 6 to the systematic presentation of atomic structure, and Chapter 7 to molecular quantum mechanics. Chapter 8, which deals with solid-state physics, treats electronic energy band theory and magnetic crystal symmetry. A compact and worthwhile compilation of the scattered material on standard methods, this volume presumes a basic understanding of quantum theory.

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Table of contents

  Preface 1. Introduction 2. Abstract Group Theory 3. Theory of Group Representations 4. Physical Applications of Group Theory 5. Full Rotation Group and Angular Momentum 6. Quantum Mechanics of Atoms 7. Molecular Quantum Mechanics 8. Solid-state Theory   Appendix. Index