Greens Functions in Quantum Physics [electronic resource] /
by Eleftherios N. Economou.
- Third Edition.
- XVIII, 480 p. online resource.
- Springer Series in Solid-State Sciences, 7 0171-1873 ; .
- Springer Series in Solid-State Sciences, 7 .
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.
ZDB-2-PHA
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.
9783540288411
10.1007/3-540-28841-4 doi
Physics. Quantum theory. Mathematical physics. Quantum computing. Condensed matter. Physics. Mathematical and Computational Physics. Quantum Physics. Mathematical Methods in Physics. Numerical and Computational Methods. Quantum Computing, Information and Physics. Condensed Matter.