** **

**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

**Second quantization**

**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

**Organization**

Lectures T Th 10:50am - 12:05pm

Homework (60%)

Term paper (30%)

Presentation (10%)

**Text**

G. D. Mahan, *Many-Particle Physics*

A. Altland and B. Simons, *Condensed Matter Field Theory*

*All information is representative only, and is likely to change from year to year.*