Quantum Theory of the Solid State A

PrefaceContents of Part BChapter 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 ReferencesChapter 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 ReferencesChapter 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 ReferencesChapter 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 ReferencesAppendix A. Summation RelationsAppendix B. Quantization of the Free Electromagnetic FieldAppendix C. Character Tables and Compatibility TablesAppendix D. Second Quantization for a System of FermionsAuthor Index for Part ASubject Index for Parts A and B