Band theory and electron correlations: Single electron in a periodic potential, many electrons in a periodic potential, Hartree-Fock-LDA and beyond
Fermi liquid theory and elementary excitations: Quasiparticles and Landau parameters, thermodynamics of a Fermi liquid
Green’s functions: Green’sfunction and response functions, Dyson and Bethe-Salpeter equations,perturbation methods and Feynman diagrams, zero temperature versusﬁnite temperature formulations
Fermi liquid theory: microscopic formulation: Landau quasiparticles as poles of Green’s function, Landau parameters, conservation law and Ward identities
Quantum magnetism: Spin waves, spin path integral, quantum non-linear sigma model
Modern applications: Kondo effect, quantum phase transitions, non-Fermi liquids
All information is representative only, and is likely to change from year to year.