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.

Full Product Details

Author:   G. Rickayzen
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 15.30cm , Height: 1.80cm , Length: 22.90cm
Weight:   0.458kg
ISBN:  

9780486499840

ISBN 10:   0486499847
Pages:   368
Publication Date:   30 June 2013
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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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Author Information

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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