Green's Functions and Condensed Matter

Overview


Green's functions, named for the mathematician who developed them in the 1830s, possess applications in many areas of physics. This volume presents the basic theoretical formulation, followed by specific applications, and is suitable for advanced undergraduates, graduate students, and professionals in the area of condensed matter physics.
Beginning with a description of Green's function in classical physics from a modern point of view, the text progresses to the definition and ...
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Green's Functions and Condensed Matter

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Overview


Green's functions, named for the mathematician who developed them in the 1830s, possess applications in many areas of physics. This volume presents the basic theoretical formulation, followed by specific applications, and is suitable for advanced undergraduates, graduate students, and professionals in the area of condensed matter physics.
Beginning with a description of Green's function in classical physics from a modern point of view, the text progresses to the definition and properties of Green's functions in quantum physics. Most of the book explores applications, focusing on transport coefficients of a metal, the Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism. The treatment assumes a good working knowledge of quantum mechanics and a familiarity with the occupation number representation. An appendix provides the main formulas and the correspondence with wave mechanics. Each chapter concludes with references and problems for further study.
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Product Details

  • ISBN-13: 9780486499840
  • Publisher: Dover Publications
  • Publication date: 5/15/2013
  • Series: Dover Books on Physics Series
  • Edition description: Reprint
  • Pages: 368
  • Sales rank: 786,875
  • Product dimensions: 5.90 (w) x 8.90 (h) x 0.80 (d)

Meet the Author


G. Rickayzen is a research scientist in the Division of Chemical Sciences, Faculty of Health and Medical Sciences, University of Surrey, United Kingdom.
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Table of Contents


Preface
1. Introduction or Why Green's Functions?
2. Formal Matters
3. General Approximations
4. Transport Coefficients of a Metal
5. The Coulomb Gas
6. Landau's Theory of Normal Fermi Liquids
7. Electrons and Phonons
8. Superconductivity
9. Superfluidity
10. Magnetism
11. Disordered Systems
12. Critical Behaviour
Appendix A. Summary of the Results of Second Quantization
Appendix B. The Sums of a Certain Series
Subject Index  
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