Green’s Functions in Quantum Physics
Title:
Green’s Functions in Quantum Physics
Author:
Economou, Eleftherios N. author.
ISBN:
9783540288411
Personal Author:
Edition:
Third Edition.
Physical Description:
XVIII, 480 p. online resource.
Series:
Springer Series in Solid-State Sciences, 7
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.
Abstract:
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.
Added Corporate Author:
Electronic Access:
http://dx.doi.org/10.1007/3-540-28841-4