8.513 | Fall 2004 | Graduate

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)

Course Info

As Taught In
Fall 2004
Learning Resource Types
Lecture Notes
Problem Sets