Quantum Theory of the Solid State A - 1st Edition - ISBN: 9780121552015, 9780323152495

Quantum Theory of the Solid State A

1st Edition

Authors: Joseph Callaway
eBook ISBN: 9780323152495
Imprint: Academic Press
Published Date: 1st January 1974
Page Count: 392
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Description

Quantum Theory of the Solid State, Part A, describes the concepts and methods, and introduces some of the central problems of the quantum theory of solids. This work is intended to be a single intellectual unit, although for reasons of convenience it has been divided into two parts. Part A contains much of the formalism required for the theoretical study of solids; Part B is oriented toward more specific problems.

The present volume includes phenomenological treatments of lattice vibrations and magnetic order; a discussion of symmetry groups; and a description of the properties of one-electron wave functions and the principal techniques for calculating energy levels. Fairly lengthy bibliographies have been included at the end of each chapter to assist readers in making their way through the more specialized periodical literature.

This book should be suitable as a textbook for students who have completed a one-year course in quantum mechanics and have some familiarity with the experimental facts of solid state physics. It should also be useful as a reference work.

Table of Contents


Preface

Contents of Part B

Chapter 1. Lattice Dynamics

1.1 Equations of Motion and Their Solution

1.2 The Reciprocal Lattice and the Brillouin Zone

1.3 Optical Properties: Classical Theory

1.4 Quantization of Lattice Vibrations

1.5 Thermodynamics and the Density of States

1.6 Scattering of Thermal Neutrons by a Vibrating Crystal Lattice

1.7 The Mössbauer Effect

1.8 Lattice Thermal Conductivity

1.9 Quantum Theory of the Interaction of Lattice Vibrations with Electromagnetic Radiation

Problems

References

Chapter 2. Phenomenological Theories of Magnetic Order

2.1 General Description

2.2 Interaction of Atomic Spins at Large Distances

2.3 Molecular Field Theory

2.4 Spin Waves

2.5 Scattering of Slow Neutrons by Magnetically Ordered Systems

2.6 The Ising Model

2.7 The Magnetic Phase Transition

Problems

References

Chapter 3. Symmetry and Its Consequences

3.1 Space Groups and Point Groups

3.2 Irreducible Representations: Point Groups

3.3 Symmetry with Spin

3.4 Ions in Crystals

3.5 Irreducible Representations: Translation Groups and Bloch's Theorem

3.6 Irreducible Representations: Space Groups

3.7 Time Reversal Symmetry

Problems

References

Chapter 4. Energy Bands

4.1 General Properties of Energy Bands

4.2 Plane Wave Expansions

4.3 Orthogonalized Plane Waves

4.4 Pseudopotential Methods

4.5 The Tight Binding Method

4.6 The Cellular Method

4.7 The Green's Function Method

4.8 The Augmented Plane Wave Method

4.9 The Hartree-Fock Method

4.10 Determination of the Crystal Potential

Problems

References

Appendix A. Summation Relations

Appendix B. Quantization of the Free Electromagnetic Field

Appendix C. Character Tables and Compatibility Tables

Appendix D. Second Quantization for a System of Fermions

Author Index for Part A

Subject Index for Parts A and B

Details

No. of pages:
392
Language:
English
Copyright:
© Academic Press 1974
Published:
Imprint:
Academic Press
eBook ISBN:
9780323152495

About the Author

Joseph Callaway

Affiliations and Expertise

Louisiana State University, Baton Rouge