Includes bibliographical references (pages 425-428) and index
CONTENTS NOTE
Text of Note
Perturbation theory at finite temperatures -- Fermi liquid theory -- Introduction -- Equilibrium properties -- Transport equation and collective modes -- Microscopic derivation of the Landau Fermi liquid theory -- Application to the Kondo problem
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Systems of identical particles -- Second quantization for fermions -- Second quantization for bosons -- Unitary transformations and field operators -- Example: the Hamiltonian of translationally invariant systems in second quantization -- Density operators -- The Hartree-Fock approximation and the symmetry dilemma -- Hartree-Fock for translationally invariant systems -- The homogeneous electron gas in the Hartree-Fock approximation -- Long-range correlations in the electron-gas: plasmons -- Phonons -- Superconductivity -- Pictures -- The single-particle Green's function -- The polarization propagator, the two particle Green's function and the hierarchy of equations of motion -- Time-independent perturbation theory -- Time-dependent pertutrbation theory with adiabatic turning-on of the interaction -- Particle and hole operators and Wick's theorem -- Feynman diagrams -- Diagrammatic calculation of the vacuum amplitude -- An example: the Gell-Mann-Brueckner correlation energy of a dense electron gas -- Diagrammatic analysis of the Green's function -- Self-consistent pertubation theory, an advanced perspective on Hartree-Fock theory -- The quasi-particle concept -- Diagrammatic calculation of the two-particle Green's function and the polarization propagator -- Effective interaction and the dressed vertices, an advance perspective on plasmons