Condensed Matter

Stoner model for ferromagnetism, goals of the BCS theory of superconductivity, the Cooper problem

Mean field theory, Hartree-Fock approximation, screening, Stoner model for ferromagnetism

Electron-phonon interactions, Schrieffer-Wolff transformation

Classical description of phonons, quantum theory of phonons, Debye model

Jellium model, Hartree and Fock terms, density of states, jellium oscillations and Einstein phonons

Perturbation theory for nearly-free electrons, Peierl's theorem, electron-electron interactions, jellium model

First Brillouin zone, tight-binding model, nearly-free electrons

Bravais lattices, reciprocal lattices, electrons in a periodic potential, Bloch's theorem

Fock space, creation and annihilation operators, one- and two-particle operators in second quantization

First quantization for many-particle systems, Slater determinants and permanents