UE2 collective effects in quantum physics S9 SM2NLP

Objectives: Introduction to the quantum-mechanical N-body problem and Green function method.

Organization: CM: 15 h, TD: 10 h.

Necessary background: quantum mechanics, statistical physics.

Topics of the course: Ground state and elementary excitations, quaziparticles and effective low-energy theories. Green functions at zero temperature, spectral representation, self-energy,
Green functions at finite temperature, Matsubara representation. Perturbation theory, S-matrix, Feynman diagrams. Models of Heisenberg and Hubbard, t-J model, sigma-model.

Skills to be achieved:
Understanding the perturbative description of interactions in quantum mechanics.
Understanding the collective effect description.

Grading plan:
Session 1: Written exam (ET) : 100%
Session 2: Written exam (ET) : 100%