Green's Functions in Quantum Physics / Edition 3

by Eleftherios N. Economou

Overview

The main part of this book is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a -function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and bound-level information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book.

Product Details

ISBN-13:	9783540288381
Publisher:	Springer Berlin Heidelberg
Publication date:	07/13/2006
Series:	Springer Series in Solid-State Sciences , #7
Edition description:	3rd ed. 2006
Pages:	480
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Green’s Functions in Mathematical Physics.- Time-Independent Green’s Functions.- Time-Dependent Green’s Functions.- Green’s Functions in One-Body Quantum Problems.- Physical Significance of G. Application to the Free-Particle Case.- Green’s Functions and Perturbation Theory.- Green’s Functions for Tight-Binding Hamiltonians.- Single Impurity Scattering.- Two or More Impurities; Disordered Systems.- Electrical Conductivity and Green’s Functions.- Localization, Transport, and Green’s Functions.- Green’s Functions in Many-Body Systems.- Definitions.- Properties and Use of the Green’s Functions.- Calculational Methods for g.- Applications.

Editorial Reviews

From the reviews of the third edition:

"The main purpose of this book is to provide graduate students, and also experienced researchers, with a clear and quite detailed survey of the applications of Green’s functions in different modern fields of quantum physics. … In summary, this book is a good manual for people who want to understand the physics and the various applications of Green’s functions in modern fields of physics. It can also be used as a starting point for studying numerical analysis in condensed matter theory." (Jean-Yves-Fortin, Mathematical Reviews, Issue, 2007 i)

From the Publisher