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On the inverse scattering problem on branching graphs
Stockholm University, Sweden.
Mälardalen University, Department of Mathematics and Physics. Stockholm University, Sweden.
2002 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 35, no 1, p. 101-122Article in journal (Refereed) Published
Abstract [en]

The inverse scattering problem on branching graphs is studied. The definition of the Schrödinger 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.

Place, publisher, year, edition, pages
2002. Vol. 35, no 1, p. 101-122
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:mdh:diva-3411DOI: 10.1088/0305-4470/35/1/309ISI: 000173665900011Scopus ID: 2-s2.0-0037059731OAI: oai:DiVA.org:mdh-3411DiVA, id: diva2:116075
Available from: 2007-04-18 Created: 2007-04-18 Last updated: 2016-01-15Bibliographically approved

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CiteExportLink to record
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