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