Many-Body Physics, SS 2016

Prof. Matthias Punk

Lectures: Tuesdays and Thursdays 08:30 - 10:00 in room A449
Tutorials: Thursdays 15:00 - 18:00 in room A450

Prerequisites: Quantum Mechanics, Statistical Physics, Solid State Theory

The aim of this course is to learn basic methods of modern many-body theory and to apply them to various problems in condensed matter physics. At the end of the course students should have the tools to follow current research topics and be able to start independent research.


  1. Second quantization & applications
    (Hubbard- and Heisenberg models, SDW mean-field theory, weakly interacting bosons, BCS-theory of superconductivity)
  2. Functional integrals
    (Path-integral representation of the partition function, correlation functions)
  3. Diagrammatic perturbation theory
    (Feynman diagrams, Hartree-Fock, RPA, screening and plasmons)
  4. Linear response and Kubo formula
    (analytic properties of correlation functions, dielectric function, conductivity of disordered metals)
  5. Hubbard-Stratonovich transformation, collective modes

Useful Literature:

  • A. Altland, B. Simons: "Condensed Matter Field Theory"
  • J.W. Negele, H. Orland: "Quantum Many-Particle Systems"
  • G.D. Mahan: "Many-particle physics"
  • A. Auerbach: "Interacting Electrons and Quantum Magnetism"
additional literature on special topics will be announced in the lecture


There is a written exam at the end of the course. Details will be announced in time.


Matthias Punk
Office: A418
Office hours: Tuesdays between 14:00-16:00