Lecture Notes

This section contains documents created from scanned original files, which are inaccessible to screen reader software. A "#" symbol is used to denote such documents.

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)#