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Infinitely Many Point Interactions in Three Dimensions

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Solvable Models in Quantum Mechanics

Part of the book series: Texts and Monographs in Physics ((TMP))

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Abstract

Our starting point will be the point interaction Hamiltonian with a finite number of centers, and then the use of a limiting argument to show that the analogous expression is still valid when Y is infinite.

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Authors and Affiliations

  1. Faculty of Mathematics and Bielefeld-Bochum Research Center, Ruhr-Universität Bochum, D-4630, Bochum 1, West Germany

    Sergio Albeverio

  2. Institute for Theoretical Physics, University of Graz, A-8010, Graz, Austria

    Friedrich Gesztesy

  3. Institute of Mathematics, University of Oslo, N-0316, Oslo 3, Norway

    Raphael Høegh-Krohn

  4. Institute of Mathematics, University of Trondheim, N-7034, Trondheim-NTH, Norway

    Helge Holden

Authors
  1. Sergio Albeverio
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  2. Friedrich Gesztesy
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  3. Raphael Høegh-Krohn
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  4. Helge Holden
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© 1988 Springer-Verlag New York Inc.

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Albeverio, S., Gesztesy, F., Høegh-Krohn, R., Holden, H. (1988). Infinitely Many Point Interactions in Three Dimensions. In: Solvable Models in Quantum Mechanics. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88201-2_11

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  • DOI: https://doi.org/10.1007/978-3-642-88201-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-88203-6

  • Online ISBN: 978-3-642-88201-2

  • eBook Packages: Springer Book Archive

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