FYSS7630 Many-particle Quantum Mechanics (12 cr)
Description
Second quantisation and Fock space
Time-ordering and evolution operators
Contour formalism for nonequilibrium systems
Many-body Green’s functions and Martin-Schwinger hierarchy
Feynman diagrams, skeleton graphs
Conserving many-body approximations
Kadanoff-Baym equations
Linear response theory
Spectral functions
Many-body applications to the electron gas
Learning outcomes
At the end of this course, students will be able to
Explain second quantisation, Fock space and field operators
Explain the connection between time-ordering and evolution operators
Describe the contour formalism for non-equilibrium systems
Explain the use of many-body Green’s functions and the Martin-Schwinger hierarchy equations
Do calculations with Feynman diagrams
Use linear response theory
Explain the concept of conservation laws in many-body language
Study various new topics in many-body theory
Write a report on a topic related to many-body theory
Description of prerequisites
Good knowledge of quantum mechanics.
Study materials
Stefanucci & van Leeuwen: Non-equilibrium Many-Body Theory of Quantum Systems - A Modern Introduction.
Literature
- Stefanucci & van Leeuwen: Non-equilibrium Many-Body Theory of Quantum Systems - A Modern Introduction