Green’s Functions in Quantum Physics

• Main Author: Economou, Eleftherios N. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Edition: Third Edition.
• Series: Springer Series in Solid-State Sciences, 7
• Subjects: Physics.; Mathematical analysis.; Analysis (Mathematics).; Quantum physics.; Elementary particles (Physics).; Quantum field theory.; Theoretical, Mathematical and Computational Physics.; Elementary Particles, Quantum Field Theory.; Analysis.; Quantum Physics.; Mathematical Methods in Physics.; Numerical and Computational Physics.

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 bas...

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.