Many-body Physics FYS4480
Morten Hjorth-Jensen
Department of Physics and Center for Computing in Science Education, University of Oslo, Norway and Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, USA
Lecture notes
Week 34 August 21-25:Basic introduction to the course, notations and definitions
Week 35 August 28- September 1: State function ansatzes for fermions and bosons and introduction to second quantization
Week 36 September 4-8: Operators in second quantization, computation of expectation values and the theorem of Wick
Week 37 September 11-15: Wick generalized theorem, particle hole-formalism and Schroedinger, Heisenberg and interaction pictures. Diagrammatic representation of operators
Week 38 September 18-22: Particle-hole formalism, Wigner-Jordan transformation and second quantization and Suzuki-Trotter approximation
Week 39 September 25-29: Full configuration interaction (FCI) theory
Week 40 October 2-6: FCI theory and mean-field theories (Hartree-Fock)
Week 41 October 9-13: Hartree-Fock theory in second quantization and diagrammatic representation. Stability of Hartree-Fock theory
Week 42 October 16-20: Summary of Hartree-Fock theory and discussion of first midterm
Week 43 October 23-27: Many-body perturbation theory
Week 44 October 30- November 3: Many-body perturbation theory, diagrammatic representation
Week 45 November 6-10: Many-body perturbation theory and start Coupled cluster theory
Week 46 November 13-17: Coupled cluster theory
Week 47 November 20-24: Coupled Cluster theory and Summary of Course with Future Perspective
Projects Fall 2022
Project 1, Deadline October 14
- LaTeX and PDF:
- HTML:
- iPython notebook:
Project 2, Deadline November 18
- LaTeX and PDF:
- HTML:
- iPython notebook:
Selected Texts on Many-body theory
- Shavitt and Bartlett, Many-Body Methods in Chemistry and Physics, Cambridge 2009.
- Szabo and Ostlund, Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory, Dover, 2005.
- Blaizot and Ripka, Quantum Theory of Finite systems, MIT press 1986.
- Fetter and Walecka, Quantum Theory of Many-Particle Systems, McGraw-Hill, 1971.
- Dickhoff and Van Neck, Many-Body Theory Exposed, World Scientific, 2006.
- Negele and Orland
- Hjorth-Jensen, Lombardo and van Kolck (Eds), An Advanced Course in Computational Nuclear Physics; Bridging Scales from Quarks to Neutron Stars, Lecture Notes in Physics, vol. 936 (Springer 2017). See in particular chapter 8-11.