Green’s Functions in Quantum Physics

• Κύριος συγγραφέας: Economou, Eleftherios N. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Έκδοση: Third Edition.
• Σειρά: Springer Series in Solid-State Sciences, 7
• Θέματα: Physics.; Mathematical analysis.; Analysis (Mathematics).; Quantum physics.; Elementary particles (Physics).; Quantum field theory.; Theoretical, Mathematical and Computational Physics.; Elementary Particles, Quantum Field Theory.; Analysis.; Quantum Physics.; Mathematical Methods in Physics.; Numerical and Computational 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.