Green’s Functions in Quantum Physics

  • Eleftherios N. Economou

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

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Green’s Functions in Mathematical Physics

    1. Front Matter
      Pages 1-1
    2. Eleftherios N. Economou
      Pages 3-18
    3. Eleftherios N. Economou
      Pages 19-35
  3. Green’s Functions in One-Body Quantum Problems

    1. Front Matter
      Pages 37-37
    2. Eleftherios N. Economou
      Pages 50-70
    3. Eleftherios N. Economou
      Pages 71-96
    4. Eleftherios N. Economou
      Pages 97-127
    5. Eleftherios N. Economou
      Pages 128-195
  4. Green’s Functions in Many-Body Systems

    1. Front Matter
      Pages 197-197
    2. Eleftherios N. Economou
      Pages 199-214
    3. Eleftherios N. Economou
      Pages 215-238
    4. Eleftherios N. Economou
      Pages 239-264
    5. Eleftherios N. Economou
      Pages 265-281

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Eleftherios N. Economou
    • 1
  1. 1.Department of PhysicsUniversity of CreteHeraklion, CreteGreece

Bibliographic information

  • 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
  • About this book