After successfully completing the course the student should be able to
use second quantisation in quantum field theory,
explain the theories for Fermi gas and Fermi liquid,
describe derivation behind and use Green’s functions for many body systems,
describe derivation behind and use Feynman diagrams for many body systems,
use some commonly used approximations for interacting electron gas,
use the T-matrix formalism for defects,
use linear response theory and describe the Kubo formalism,
describe BCS theory for superconductivity.
explain and summarise one or several advanced topics in many body theory.
The course introduces the student to quantum field theoretical and statistical methods used to study materials at the microscopic scale, while at the same time describing macroscopic phenomena.
Part I: Second quantisation. Fermi gas and Fermi liquid. Green’s functions. Feynman diagrams. Hartree-Fock and random phase approxmations. Scattering from defects. Linear response theory. Susceptiblitities. Kubo formalism. Bardeen-Cooper-Schrieffer (BSC) theory for superconductivity.
Part II: Advanced topic(s) in many body theory chosen in consultation with course responsible teacher, either directly related to the course content in Part I or related to the student’s research interests.
Lectures and student-run seminars.
Written hand-in assignments (Part I, 7 credits), oral presentation and written report on advanced topic(s) as well as required attendance on oral presentations (Part II, 3 credits).