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

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 potentia...

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Bibliographic Details
Published inLetters in mathematical physics Vol. 25; no. 4; pp. 287 - 297
Main Author Kurasov, P. B.
Format Journal Article
LanguageEnglish
Published Boston Reidel 01.08.1992
Dordrecht
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
General theory of scattering
Matematik
Mathematical Sciences
Natural Sciences
Naturvetenskap
Physics
Interaction potential
Inverse scattering method
Scattering theory
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ISSN0377-9017
1573-0530
1573-0530
DOI10.1007/BF00398401

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Summary: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.
ISSN:0377-9017
1573-0530
1573-0530
DOI:10.1007/BF00398401