Quantum Condensed Matter Field
Theory

LECTURES

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

Answers

Problem Set
II

Answers

Problem Set
III

Answers

Problem Set
IV

Answers

Problem Set
V

Answers

Past Tripos
Exam Questions

Useful Material

Lecture
notes  on Solid State Physics and Many-Body Theory by Chetan Nayak
(UCLA)

Lecture
notes  on Many-Body Theory by Piers Coleman (Rutgers)

Lecture
notes  on Quantum Field Theory in Condensed Matter Physics by
Alexander Altland (Koln) and myself