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

Research output: Contribution to journalArticle

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.

Details

Authors
  • Pavel Kurasov
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • REFLECTION COEFFICIENT
Original languageEnglish
Pages (from-to)287-297
JournalLetters in Mathematical Physics
Volume25
Issue number4
Publication statusPublished - 1992
Publication categoryResearch
Peer-reviewedYes