Contents of the book by Hermann Haken Quantum field theory of solids Introduction .................................................. 1 - Background and summary - Some basic ideas in classical mechanincs Harmonic oscillators .......................................... 13 - Quantum mechanical oscillator: annihilation and creation op - Calculation of expectation values - Use of Bose operators: we learn a few tricks - The displaced harmonic oscillator: a model for elementary excitations in solids Field quantisation ............................................ 49 - The linear atomic chain: classical treatment - The linear atomic chain: quantum treatment; phonons - Transition to the continuum: classical - Transition to the continuum: quantum; phonons - Three dimensional problems: quantisation of the scalar wave equation and of the electromagnetic field: photons - Quantisation of the Schrödinger wave field of Bose statistics. Second quantisation. Bosons - Quantisation of the Schrödinger wave field of Fermi-Dirac statistics. Fermions - The use of Fermi operators - Interaction between fields: tight-rope-walking electrons - Methodology: the interaction picture and the Heisenberg picture Electrons in a rigid lattice ................................. 131 - Electrons in a crystal lattice; Bloch theory - Effective mass method - Wannier functions - Electrons in a crystal lattice. Hartree-Fock approximation - Holes - Interaction between electrons and holes - Excitons with large orbital radius - Electronic polarisation waves - Exciton matter - Plasmons - Spin waves: magnons Electrons in interaction with lattice vibrations ............. 211 - Fröhlich's Hamiltonian operator for the interaction between electrons and phonons - Time-dependent perturbation theory of the first order. Feynman graphs - Electical resistance - Time-dependent perturbation theory of the second order: mass renormalisation - Higher order perturbation theory - A theorem on the exact form of solution - The Fröhlich's polaron - The effective interaction between polarons Green's functions ........................................... 259 - Perturbation theory in configuration space - Propagator, Green's function: all the same - Examples of equations for Green's functions and their solution Superconductivity ........................................... 285 - A few basic experimental facts about superconductivity - Theory of superconductivity - The ground state of superconductors according to the Bardeen-Cooper-Schrieffer theory - Excited states of superconductors Electrons in interaction with quantiser light field ......... 311 - Interaction between light and matter: the Hamiltonian operator - Polaritons Bibliography ................................................ 323 Index ....................................................... 327