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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
2008-09-01 15:55:29
date last changed
2017-01-01 07:16:12
@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},
  keyword      = {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},
  volume       = {25},
  year         = {1992},
}