Preface Chapter Ⅰ Electrons in one-dimensional periodic potentials 1 The Bloch theorem for one-dimensional periodicity 2 Energy levcls in a periodic array of quantunl wells 3 Electron tunneling and energy bands 3.1 Transmission and resection of electrons through an arbitrary potential. 3.2 Electron tunneling through a periodic potential 4 The tight-binding appro~imation 4.1 Expansion in localized orbitals 4.2 Tridiagonal matrices and continued fractions 5 Plane waves and nearly free-electron approximation 5.1 Expansion in plane waves 5.2 The Mathieu potential and the continued fraction solution 6 Some dynamical aspects of electrons in band theory Further reading Chapter Ⅱ Geometrical description of crystals: direct and reciprocal lattices 1 Simple lattices and composite lattices 1.1 Periodicity and Bravais lattices 1.2 Simple and composite crystal structures 2 Geometrical description of some crystal structures 3 Wigner-Seitz primitive cells 4 Reciprocal lattices 4.1 Definitions and basic properties 4.2 Planes and directions in Bravais lattices 6 Translateonal symmetry and quantum mechanical aspects 6.1 Translational symmetry and Bloch wavefunctions 6.2 The parametric k. p Hamiltonian 6.3 Cyclic boundary conditions 6.4 Special k points for averaging over the Brillouin zone 7 Denity-of-states and critical points Further reading Chapter Ⅲ The Sommerfeld free-electron theory of metals 1 Quantum theory of the free-alectron gas 2 Fermi-Dirac distribution function and chemical potential 3 Electronic specific heat in metals and thermodynamic functin~ 4 Thermionic emission from metals Appendix A. Outline of statistical physics and thermodynamic relations A1. Microcanonical ensemble and thermodynamic quantities A2. Canonical ensemble and thermodynamic quantities A3. Grand canonical ensemble and thermodynamic quantities Appendix B. Fermi Dirac and Boee~Einstein statistics for independent particles Appendix C. Modified Fermi-Dira~ statistics in a model of correlation effects Further reading Chapter Ⅳ The one-electron approximation and beyond 1 Introductory rem~ks on the many-electron problem 2 The Hartree equations 3 Identical particles and determinantal wavefunctions 4 Matrix elements between determinantal states 5 The Hartree-Fuck equations 5.1 Variational approach and Haxtree-Fock equations 5.2 Ground-state energy, ionization energies and transition energies 5.3 Haxtree-Fock equations and transition energies in closed-shell systems 5.4 Hartree~Fock-Slater and Hartree-Fock Roothaan approximations 6 Overview of approaches beyond the on.electron approximation 7 Electronic properties and phase diagram of the homogeneous electron gas 8 The density functional theory and the Kohn-Sham equations Appendix A. Bielectronic integrals anlong spin-orhitals Appendix B. Outline of second quantizatinn formalism for identical fermions Appendix C. An integral on the Fermi sphere Further reading Chapter Ⅴ Band theory of crystals 1 Basic assumptions of the hand theory. 2 The tight-binding method (LCAO method) 2.1 Description of the method for simple lattices 2.2 Description of the tight-binding method for composite lattices 2.3 Illustrative applications of the tight-binding scheme 3 The orthogonalized plane wave (OPW) method 4 The pseudopotential method 5 The cellular method 6 The augmented plane wave (APW) method Chapter Ⅵ Electronic Properties of selected crystals Chapter Ⅶ Excitons, plasmons and dielectric screening in crystals Chapter Ⅷ Interacting electronic-nuclear systems and the adiabatic principle Chapter Ⅸ Lattice dynamics of crystals Chapter Ⅹ Scattering of particles by crystals Chapter Ⅺ Optical and transport properties in metals Chapter Ⅻ Optical properties of semiconductors and insulators Chapter ⅫⅠ Transport in intrinsic and homogeneously doped semiconductors Chapter ⅩⅣ Transport in inhomogeneous semiconductors Chapter ⅩⅥ Magnetic properties of loclized systems and Kondo impurities Chapter ⅩⅦ Magnetic ordering in crystals Chapter ⅩⅧ Superconductivity Subject inder
