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Green’s Functions in Quantum Physics [electronic resource] /by Eleftherios N. Economou.

by Economou, Eleftherios N [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Series in Solid-State Sciences: 7Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Edition: Third Edition.Description: XVII, 477 p. 60 illus. online resource.ISBN: 9783540288411.Subject(s): 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 MatterDDC classification: 530.1 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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.

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