Springer Series in Solid-State Sciences

Green’s Functions in Quantum Physics

Authors: Economou, Eleftherios N.

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  • ISBN 978-3-662-02369-3
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About this book

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.

Table of contents (11 chapters)

  • Time-Independent Green’s Functions

    Economou, Eleftherios N.

    Pages 3-18

  • Time-Dependent Green’s Functions

    Economou, Eleftherios N.

    Pages 19-35

  • Physical Significance of G. Application to the Free Particle Case

    Economou, Eleftherios N.

    Pages 39-49

  • Green’s Functions and Perturbation Theory

    Economou, Eleftherios N.

    Pages 50-70

  • Green’s Functions for Tight-Binding Hamiltonians

    Economou, Eleftherios N.

    Pages 71-96

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-662-02369-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Green’s Functions in Quantum Physics
Authors
Series Title
Springer Series in Solid-State Sciences
Series Volume
7
Copyright
1983
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-02369-3
DOI
10.1007/978-3-662-02369-3
Series ISSN
0171-1873
Edition Number
2
Number of Pages
XIV, 316
Number of Illustrations and Tables
8 b/w illustrations
Topics