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On the Number of Negative Eigenvalues of a One-Dimensional Schrödinger Operator with Point Interactions

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Abstract

An effective algorithm is provided for determining the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions in terms of the intensities and the distances between the interactions.

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References

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53 115, Bonn 1, SFB 611

    Sergio Albeverio

  2. BiBoS, Bielefeld; IZKS; CERFIM, Locarno, Accademia di Architettura, Mendrisio

    Sergio Albeverio

  3. Institute of Mathematics, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

    Leonid Nizhnik

Authors
  1. Sergio Albeverio
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  2. Leonid Nizhnik
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Albeverio, S., Nizhnik, L. On the Number of Negative Eigenvalues of a One-Dimensional Schrödinger Operator with Point Interactions. Letters in Mathematical Physics 65, 27–35 (2003). https://doi.org/10.1023/A:1027396004785

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  • DOI: https://doi.org/10.1023/A:1027396004785

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