Green's Functions in Quantum Physics [Paperback]

Greens Functions in Mathematical Physics.- Time-Independent Greens Functions.- Time-Dependent Greens Functions.- Greens Functions in One-Body Quantum Problems.- Physical Significance of G. Application to the Free-Particle Case.- Greens Functions and Perturbation Theory.- Greens Functions for Tight-Binding Hamiltonians.- Single Impurity Scattering.- Two or More Impurities; Disordered Systems.- Electrical Conductivity and Greens Functions.- Localization, Transport, and Greens Functions.- Greens Functions in Many-Body Systems.- Definitions.- Properties and Use of the Greens Functions.- Calculational Methods for g.- Applications.

From the reviews of the third edition:

The main purpose of this book is to provide graduate students, and also experienced researchers, with a clear and quite detailed survey of the applications of Greens functions in different modern fields of quantum physics. & In summary, this book is a good manual for people who want to understand the physics and the various applications of Greens functions in modern fields of physics. It can also be used as a starting point for studying numerical analysis in condensed matter theory. (Jean-Yves-Fortin, Mathematical Reviews, Issue, 2007 i)

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.

Long-established and respected reference on a key mathematical metholcA