Green's Functions in Quantum Physics

Eleftherios N. Economou (Autor)

Buch | Softcover

XVIII, 480 Seiten

2010 | 3. Softcover reprint of hardcover 3rd ed. 2006
Springer Berlin (Verlag)
978-3-642-06691-7 (ISBN)

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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.

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 Green's 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 Green's 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)

Erscheint lt. Verlag	13.2.2010
Reihe/Serie	Springer Series in Solid-State Sciences
Zusatzinfo	XVIII, 480 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	744 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Condensed Matter Physics (Solid-State Physics) • Functions • Greensche Funktion • Helmholtz equation • Mathematical Physics • Mathematical Physics (Quantum Mechanics) • Physics • Quantenmechanik • Second Quantization
ISBN-10	3-642-06691-7 / 3642066917
ISBN-13	978-3-642-06691-7 / 9783642066917
Zustand	Neuware