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Operator Methods in Ordinary and Partial Differential Equations pp 207–217Cite as

Birkhäuser

The Non-relativistic Scattering Problem for a Superposition of δ-potentials

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 132))

Abstract

The two-body scattering problem is solved exactly for a single and a superposition of two δ-potentials. Conditions for the existence of bound states and resonances are investigated for these kinds of potentials.

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References

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Author information

Authors and Affiliations

  1. Department of Physics, Gomel State University, Gomel, 246699, Belarus

    V. Kapshai

  2. Department of Physics, Stockholm University Stockholm Center for Physics, Astronomy and Biotechnology, Stockholm, SE-106 91, Sweden

    T. Alferova & N. Elander

Authors
  1. V. Kapshai
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  2. T. Alferova
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  3. N. Elander
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Editor information

Editors and Affiliations

  1. Institute of Applied Mathematics, University of Bonn, Bonn, 53115, Germany

    Sergio Albeverio

  2. Department of Physics, Stockholm University, Stockholm, 10691, Sweden

    Nils Elander

  3. School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham, England, B15 2TT, UK

    W. Norrie Everitt

  4. Department of Mathematics, Stockholm University, Stockholm, 10691, Sweden

    Pavel Kurasov

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© 2002 Springer Basel AG

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Kapshai, V., Alferova, T., Elander, N. (2002). The Non-relativistic Scattering Problem for a Superposition of δ-potentials. In: Albeverio, S., Elander, N., Everitt, W.N., Kurasov, P. (eds) Operator Methods in Ordinary and Partial Differential Equations. Operator Theory: Advances and Applications, vol 132. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8219-4_16

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  • DOI: https://doi.org/10.1007/978-3-0348-8219-4_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9479-1

  • Online ISBN: 978-3-0348-8219-4

  • eBook Packages: Springer Book Archive

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