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Green's Functions in Quantum Physics (3rd Edition) By Eleftherios N. Economou
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About this book :-
Green's Functions in Quantum Physics (3rd Edition) written by
Eleftherios N. Economou.
This new edition of a standard reference will be of interest to advanced students wishing to become familiar with the method of Green's functions for obtaining simple and general solutions to basic problems in quantum physics.
The main part 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. This third edition is 50% longer than the previous and offers end-of-chapter problems and solutions (40% are solved) and additional appendices to help it is to serve as an effective self-tutorial and self-sufficient reference. Throughout, it demonstrates the powerful and unifying formalism of Green's functions across many applications, including transport properties, carbon nanotubes, and photonics and photonic crystals.
Book Detail :-
Title: Green's Functions in Quantum Physics
Edition: 3rd Edition
Author(s): Eleftherios N. Economou
Publisher: Springer
Series:
Year: 2006
Pages: 474
Type: PDF
Language: English
ISBN: 3540288384,9783540288381
Country: US
About Author :-
The author Lefteris Economou obtained his Diploma from the National Technical University of Athens in 1963 and his PhD in Theoretical Condensed Matter Physics from the Univ. of Chicago (USA) in 1969. His academic genealogy tree is available here.
He was Professor at the Univ. of Virginia, USA (1970-1981), as well as Professor and Chair of Theoretical Physics at the Univ. of Athens, Greece (1978-1981) before he joined the Univ. of Crete in 1981. Hecwas the Director General and Chairman of the Governing Board of the Foundation for Research and Technology - Hellas (FORTH), from its creation, in 1983, until 2004. He retired and was elected Emeritus Professor in 2007. More information on Prof. Economou is available in Wikipedia.
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Book Contents :-
Green's Functions in Quantum Physics (3rd Edition) written by
Eleftherios N. Economou
cover the following topics.
Part-I Green’s Functions in Mathematical Physics
1. Time-Independent Green’s Functions
2. Time-Dependent Green’s Functions
Part-II Green’s Functions in One-Body Quantum Problems
3. Physical Significance of G. Application to the Free-Particle Case
4. Green’s Functions and Perturbation Theory
5. Green’s Functions for Tight-Binding Hamiltonians
6. Single Impurity Scattering
7. Two or More Impurities; Disordered Systems
8. Electrical Conductivity and Green’s Functions
9. Localization, Transport, and Green’s Functions
Part-III Green’s Functions in Many-Body Systems
10. Definitions
11. Properties and Use of the Green’s Functions
12. Calculational Methods for g
13. Applications
Appendix
A Dirac’s delta Function
B Dirac’s bra and ket Notation
C Solutions of Laplace and Helmholtz Equations in Various Coordinate Systems
D Analytic Behavior of G(z) Near a Band Edge
E Wannier Functions .
F Renormalized Perturbation Expansion (RPE)
G Boltzmann’s Equation
H Transfer Matrix, S-Matrix, etc
I Second Quantization
solutions of Selected Problems
References
Index
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