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Quantum Condensed Matter Field Theory

LECTURES

All lectures combined
Lec 1: Introduction
Lec 2: From particles to fields
Lec 3: Quantising the classical field
Lec 4: Second quantisation
Lec 5: Representation of operators
Lec 6: Tight-binding and the Mott Transition
Lec 7: Quantum magnetism and the Ferromagnetic chain
Lec 8: Quantum Antiferromagnetism
Lec 9: Bogoliubov theory of weakly interacting Bose gas
Lec 10: Fyenman path integral
Lec 11: Statistical mechanics and semi-Classics
Lec 12: Applications of the feynman path integral
Lec 13: Double well potential: tunneling and instantons
Lec 14: Coherent states
Lec 15: Many-body (coherent state) path integral
Lec 16: Applications and connections
Lec 17: Weakly interacting electron gas: Plasma theory
Lec 18: Random phase approximation
Lec 19: Bose-Einstein condensation
Lec 20: Superfluidity
Lec 21: Cooper instability
Lec 22: BCS Superconductivity
Lec 23: Field theory of superconductivity
Lec 24: Superconductivity and gauge invariance

LECTURE NOTES

Preface
Chapter 1: Collective Excitations: From Particles to Fields
Chapter 2: Second Quantisation
Chapter 3: Feynman Path Integral
Chapter 4: Functional Field Integral
Chapter 5: Broken Symmetry and Collective Phenomena

PROBLEM SETS

Problem Set I
Problem Set II
Problem Set III
Problem Set IV
Problem Set V
Past Tripos Exam Questions

Useful Material

Lecture notes
Lecture notes
Lecture notes