Theoretical / proof-based
Many-body physics · Graduate · Physics
Topics
Second quantization
- Fock space formalism for fermions and bosons
- Field operators and commutation relations
- Basis transformations and normal ordering
- Coherent states and path integrals
- Hubbard model as canonical example
Green's functions
- Retarded and advanced propagators
- Dyson equation and self-energy
- Spectral functions and sum rules
- Lehmann representation
- Analytic continuation to real frequencies
Diagrammatic methods
- Feynman diagrams at zero and finite T
- Wick's theorem for fermions
- Random phase approximation
- BCS gap equation from Nambu formalism
- Strongly correlated regimes: Mott transition (intro)
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.