On the inverse scattering problem on branching graphs

Research output: Contribution to journalArticle

Abstract

The inverse scattering problem on branching graphs is studied. The definition of the Schrodinger operator on such graphs is discussed. The operator is defined with real potentials with finite first momentum and using special boundary conditions connecting values of the functions at the vertices. It is shown that in general the scattering matrix does not determine the topology of the graph, the potentials on the edges and the boundary conditions uniquely.

Details

Authors
  • Pavel Kurasov
  • Fredrik Stenberg
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics
Original languageEnglish
Pages (from-to)101-121
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number1
Publication statusPublished - 2002
Publication categoryResearch
Peer-reviewedYes