Green’s Functions in Quantum Physics

✍ Scribed by Professor Eleftherios N. Economou PhD (auth.)

• Publisher: Springer Berlin Heidelberg
• Year: 1983
• Tongue: English
• Leaves: 324
• Series: Springer Series in Solid-State Sciences 7
• Category: Library

✦ Synopsis

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 boundlevel 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.

✦ Table of Contents

Front Matter....Pages I-XIV
Front Matter....Pages 1-1
Time-Independent Green’s Functions....Pages 3-18
Time-Dependent Green’s Functions....Pages 19-35
Front Matter....Pages 37-37
Physical Significance of G. Application to the Free Particle Case....Pages 39-49
Green’s Functions and Perturbation Theory....Pages 50-70
Green’s Functions for Tight-Binding Hamiltonians....Pages 71-96
Single Impurity Scattering....Pages 97-127
Two or More Impurities; Disordered Systems....Pages 128-195
Front Matter....Pages 197-197
Definitions....Pages 199-214
Properties and Use of the Green’s Functions....Pages 215-238
Calculational Methods for g....Pages 239-264
Applications....Pages 265-281

✦ Subjects

Quantum Physics;Condensed Matter Physics;Mathematical Methods in Physics;Numerical and Computational Physics;Quantum Information Technology, Spintronics