# Green’s Functions in Quantum Physics

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 7)

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Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 7)

In this edition the second and main part of the book has been considerably expanded as to cover important applications of the formalism. In Chap.5 a section was added outlining the extensive role of the tight binding (or equivalently the linear combination of atomic-like orbitals) approach to many branches of solid-state physics. Some additional informa tion (including a table of numerical values) regarding square and cubic lattice Green's functions were incorporated. In Chap.6 the difficult subjects of superconductivity and the Kondo effect are examined by employing an appealingly simple connection to the question of the existence of a bound state in a very shallow potential well. The existence of such a bound state depends entirely on the form of the un perturbed density of states near the end of the spectrum: if the density of states blows up there is always at least one bound state. If the density of states approaches zero continuously, a critical depth (and/or width) of the well must be reached in order to have a bound state. The borderline case of a finite discontinuity (which is very important to superconductivity and the Kondo effect) always produces a bound state with an exponentially small binding energy.

Condensed Matter Physics (Solid-State Physics) Functions Greensche Funktion Mathematical Physics (Quantum Mechanics) Physics Quantenmechanik Second quantization condensed matter mathematical physics quantum mechanics quantum physics

- DOI https://doi.org/10.1007/978-3-662-02369-3
- Copyright Information Springer-Verlag Berlin Heidelberg 1983
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Springer Book Archive
- Print ISBN 978-3-540-12266-1
- Online ISBN 978-3-662-02369-3
- Series Print ISSN 0171-1873
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