FYSS7630 Many-particle Quantum Mechanics (12 cr)

• 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 

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 

Good knowledge of quantum mechanics.

Stefanucci & van Leeuwen: Non-equilibrium Many-Body Theory of Quantum Systems - A Modern Introduction.