Syllabus
Time dependence in quantum theory, in particular interaction/Dirac picture.
Linear response theory, Kubo formula.
Green functions (real time and imaginary), equation of motion theory, Lehmann representation.
Diagrammatic perturbation theory, Feynman diagrams.
Application to the Anderson impurity model and electron-phonon scattering.
Annotation
This lecture is primarily intended for the first grade Ph.D. students of the programmes F3 and F13 and it continues the course NBCM083 Selected Topics on Quantum Theory or other similar courses on more advanced quantum mechanics and statistical physics. This course extends concepts of quantum equilibrium statistical physics to interacting systems, introduces corresponding mathematical formalisms (many-body Green functions, linear response theory, diagrammatic perturbation theory) and demonstrates their usage on generic solid-state examples (Anderson impurity model etc.).