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9783540655374

Quantum Field Theory in Condensed Matter Physics

by ;
  • ISBN13:

    9783540655374

  • ISBN10:

    3540655379

  • Format: Hardcover
  • Copyright: 1999-11-01
  • Publisher: Springer Verlag
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Supplemental Materials

What is included with this book?

Summary

This book covers a broad range of important topics and recent developments in this field. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems, the emphasis being on phase transitions. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.This monograph addresses graduate students and researchers working in related disciplines looking for an approachable but thorough introduction to the field of condensed matter physics.

Table of Contents

Review of Quantum Mechanics and Basic Principles of Field Theory
1(26)
Single-Particle Quantum Mechanics
1(11)
Many-Particle Quantum Mechanics: Second Quantization
12(6)
The Variation Principle and the Noether Theorem
18(5)
Quantization of the Electromagnetic Field
23(4)
Quantization with Path Integral Methods
27(24)
Single-Particle Quantum Mechanics and Path Integrals
27(10)
The Path Integral for Bosons
37(5)
The Path Integral for Fermions
42(3)
The Path Integral for the Gauge Field
45(2)
The Path Integral for the Spin System
47(4)
Symmetry Breaking and Phase Transition
51(40)
Spontaneous Symmetry Breaking
51(9)
The Goldstone Mode
60(8)
Kosterlitz--Thouless Transition
68(10)
Lattice Gauge Theory and the Confinement Problem
78(13)
Simple Examples for the Application of Field Theory
91(22)
The RPA Theory of a Coulomb Gas
91(11)
The Bogoliubov Theory of Superfluidity
102(11)
Problems Related to Superconductivity
113(48)
Superconductivity and Path Integrals
113(20)
Macroscopic Quantum Effects and Dissipation: The Josephson Junction
133(13)
The Superconductor--Insulator Phase Transition in Two Dimensions and the Quantum Vortices
146(15)
Quantum Hall Liquid and the Chern--Simons Gauge Field
161(32)
Two-Dimensional Electron System
161(6)
Effective Theory of a Quantum Hall Liquid
167(19)
The Derivation of the Laughlin Wave Function
186(7)
Appendix 193(8)
A. Fourier Transformation
193(2)
B. Functionals and the Variation Principle
195(4)
C. Quantum Statistical Mechanics
199(2)
References 201(4)
Index 205

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