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

Kurasov, Pavel LU (1992) In Letters in Mathematical Physics 25(4). p.287-297
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
REFLECTION COEFFICIENT
in
Letters in Mathematical Physics
volume
25
issue
4
pages
287 - 297
publisher
Springer
external identifiers
  • scopus:0000080085
ISSN
0377-9017
DOI
10.1007/BF00398401
language
English
LU publication?
yes
id
64ce8fb5-61fb-4ba9-9ed9-63da27118af5 (old id 758064)
alternative location
http://www.springerlink.com/content/t504m14806p15888/fulltext.pdf
date added to LUP
2016-04-01 16:49:24
date last changed
2025-10-14 11:30:18
@article{64ce8fb5-61fb-4ba9-9ed9-63da27118af5,
  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.}},
  author       = {{Kurasov, Pavel}},
  issn         = {{0377-9017}},
  keywords     = {{REFLECTION COEFFICIENT}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{287--297}},
  publisher    = {{Springer}},
  series       = {{Letters in Mathematical Physics}},
  title        = {{Zero-range potentials with internal structures and the inverse scattering problem}},
  url          = {{http://dx.doi.org/10.1007/BF00398401}},
  doi          = {{10.1007/BF00398401}},
  volume       = {{25}},
  year         = {{1992}},
}