Green's Functions in Quantum 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 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.

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.