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 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.

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.