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Zero-range potentials with internal structures and the inverse scattering problem

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Abstract

The inverse scattering problem on the half-axis is solved for scattering matrices which result from scattering on a zero-range potential with an internal structure. The solutions are constructed as pointwise limits of Bargmann potentials and form a one-parameter family. We obtain a class of potentials decreasing slowly at infinity.

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Authors and Affiliations

  1. Department of Mathematical and Computational Physics, Petersburg University, 198904, St Petersburg, Russia

    P. B. Kurasov

  2. Manne Siegbahn Institute, Freskativagen 24, 10405, Stockholm, Sweden

    P. B. Kurasov

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  1. P. B. Kurasov
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Kurasov, P.B. Zero-range potentials with internal structures and the inverse scattering problem. Letters in Mathematical Physics 25, 287–297 (1992). https://doi.org/10.1007/BF00398401

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  • DOI: https://doi.org/10.1007/BF00398401

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