# Nonequilibrium Green's Functions

## Lecture details

The lecture will be given by Professor Schoeller.

Prerequisites

- elementary knowledge about many-body theory of quantum systems, see e.g. the lecture on "Quantum theory of condensed matter I" given in the first Master semester
- 2. quantization, field operators, Wick theorem, definition and properties of Greens- and correlation functions in equilibrium, Matsubara formalism, linear response theory, electrons, phonons, random impurities
- suitable for students in the third Master semester

Topics

This lecture contains an introduction to nonequilibrium Greens functions (Keldysh formalism):

- Introduction to real time Greens functions
- diagrammatic expansion, Feynman diagrams, path integral formalism
- derivation of Dyson equation
- derivation of quantum Boltzmann equations: gradient expansion, quasiparticle approximation, quasiclassical approximation
- application to random impurities, electron-phonon interaction, electron-electron interaction
- Fermi liquid theory
- derivation of linearized quantum Boltzmann equations, calculation of conductivity
- application to mesoscopic systems

For more details, you can also refer to the university calendar:

Time | Room | Starts |
---|---|---|

Tues. 9.30am - 12pm |
4263 (26 C 401) |
18.04.2017 (13 dates) |

Wed. 9.30am - 12pm | 4263 (26 C 401) | 19.04.2017 (14 dates) |