The One-Center Point Interaction in Three Dimensions

  • Sergio Albeverio
  • Friedrich Gesztesy
  • Raphael Høegh-Krohn
  • Helge Holden
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

In this section we develop a precise formulation for the point interaction (also called δ, or zero-range, or contact interaction or Fermi pseudopotential in the physics literature) centered at a fixed point y in three dimensions. Although our methods concentrate mainly on the concept of self-adjoint operator extensions, an alternative approach based on local Dirichlet forms is sketched at the end of the section.

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Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • Sergio Albeverio
    • 1
  • Friedrich Gesztesy
    • 2
  • Raphael Høegh-Krohn
    • 3
  • Helge Holden
    • 4
  1. 1.Faculty of Mathematics and Bielefeld-Bochum Research CenterRuhr-Universität BochumBochum 1West Germany
  2. 2.Institute for Theoretical PhysicsUniversity of GrazGrazAustria
  3. 3.Institute of MathematicsUniversity of OsloOslo 3Norway
  4. 4.Institute of MathematicsUniversity of TrondheimTrondheim-NTHNorway

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