Green's Functions in Quantum Physics

Beschreibung

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.
This book 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.
Long-established and respected reference on a key mathematical methods in physics (first published in 1979). Substantially expanded 3rd edition (50% longer) now offers end-of-chapter problems and solutions (40% are solved) and additional appendices to serve as a self-tutorial and self-sufficient reference. Demonstrates the powerful and unifying formalism of Green's functions with many applications, including transport properties, carbon nanotubes, and photonics and phoontic crystals. Includes supplementary material: sn.pub/extras

Autor*in

Eleftherios N. Economou

Themen in »Green's Functions in Quantum Physics«

Condensed Matter Physics (Solid-State Physics) Functions Greensche Funktion Helmholtz equation Mathematical Physics (Quantum Mechanics) Physics Quantenmechanik Second quantization mathematical physics

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