Quantum Solid-State Physics

1. Introduction. General Properties of the Solid State of Matter.- 1.1 General Thermodynamic Description of the Solid State.- 1.2 Crystal Structure of Solids.- 1.3 Reciprocal Lattice.- 1.4 Examples of Simple Crystal Structures.- 1.5 Experimental Techniques for Determining the Periodic Atomic Structure of Solids.- 1.6 Qualitative Concepts of the Electronic and Nuclear Crystal Structure.- 1.7 Fundamental Concepts of the Chemical Bonding in Solids.- 1.8 Types of Crystalline Solids.- 1.9 Formulation of the General Quantum-Mechanical Problem of the Crystal.- 1.10 Properties of Disordered Condensed Systems.- 2. Dynamic Properties of the Crystal Lattice.- 2.1 The Dynamics of the Ionic Lattice.- 2.2 The Specific-Heat Capacity of the Lattice.- 2.3 Allowance for Anharmonic Terms.- 2.4 Localization of Phonons on Point Defects.- 2.5 Heat Capacity of Glasses at Low Temperatures.- 2.6 High-Frequency Permittivity of Ionic Crystals.- 2.7 Lattice Scattering and the Mössbauer Effect.- 2.8 Conclusion.- 3. Simple Metals: The Free Electron-Gas Model.- 3.1 Types of Metals.- 3.2 Physical Properties of the Metallic State. Conduction Electrons.- 3.3 Classical Conduction-Electron Theory (Drude-Lorentz Theory).- 3.4 Itinerant Electron Theory According to Frenkel.- 3.5 Application of Fermi-Dirac Quantum Statistics to the Conduction-Electron Gas.- 3.6 Transport Phenomena.- 3.7 High-Frequency Properties.- 3.8 Conclusions.- 4. Band Theory.- 4.1 Preliminary Observations and the One-Dimensional Model.- 4.2 General Theory of the Electron Motion in a Three-Dimensional Crystal.- 4.3 Nearly-Free-Electron Approximation.- 4.4 Effect of an Electric Field on Electronic States.- 4.5 The Metal-Semiconductor Criterion.- 4.6 Computing the Electron Energy Spectrum of Crystals.- 4.7 Band Electrons in a Magnetic Field.- 4.8 Impurity States.- 4.9 The Electronic Structure of Disordered Systems.- 4.10 Conclusion. The Role of Many-Particle Effects.- 5. Many-Particle Effects.- 5.1 Plasma Phenomena. Screening.- 5.2 TheFermi-Liquid Theory.- 5.3 Electron-Phonon Interaction.- 5.4 Superconductivity.- 5.5 Excitons.- 5.6 Transition Metals and Their Compounds.- 5.7 Anderson's Orthogonality Catastrophe.- 5.8 Conclusion.- Addenda (Recent Developments).- References.