Many-Body Theory for Condensed Matter Systems

Lecture Notes

These lecture notes are handwritten, and broken up by topic rather than lecture.

1. Introduction; Topics of the Course (PDF - 1.9 MB)
2. Identical Particles and Second Quantization; Occupation Number Representation (PDF - 2.0 MB)
3. Creation and Annihilation Operators (PDF - 5.6 MB)
4. Review of Path Integrals for Single Particle QM; Path Integrals and Statistical Mechanics; Evaluation of Imaginary Time Path Integral for SHO (PDF - 4.1 MB)
5. Path Integrals for Many Particle Systems; Coherent State Path Integral; Real Time Path Integral; Superfluidity (PDF - 5.7 MB)
6. The Bose Liquid; Small Fluctuations about the Classical Minimum (PDF - 6.0 MB)
7. Vortices; Superfluid Equations of Motion; Charged Bosons (PDF - 5.5 MB)
8. Quantum Magnetism of Localized Spins; Origin of Exchange in Electronic Insulators; Path Integral for Spin (PDF - 8.3 MB)
9. Quantum Antiferromagnets (PDF - 8.1 MB)
10. Excitations; Brief Introduction to the hiTc Problem (PDF - 2.0 MB)