285130 Computational Quantum Many-Body Physics (V) (WiSe 2026/2027)

This course introduces computational methods for the quantum many-body problem of interacting electrons. All methods are presented with applications to real electronic systems in mind.

Topics include:
- Second quantization, Wick's theorem, mean-field theory
- Model Hamiltonians: tight-binding, Hubbard model
- Exact diagonalization: symmetry sectors, observables, Lanczos algorithm
- Kohn–Sham density functional theory
- Wannier functions and concepts of downfolding
- Green's functions: Matsubara formalism, Feynman diagrams, linked-cluster expansion
- Many-body perturbation theory: random phase approximation, GW approximation, dynamical mean-field theory

Teilnahmevoraussetzungen, notwendige Vorkenntnisse

- Basic knowledge of quantum mechanics and statistical physics
- Programming knowledge (Python or similar)
- A course on condensed matter physics (experiment / theory) is recommended