Inverse scattering for lasso graph
2013 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 54, no 4, 042103- p.Article in journal (Refereed) Published
The inverse problem for the magnetic Schrodinger operator on the lasso graph with different matching conditions at the vertex is investigated. It is proven that the Titchmarsh-Weyl function known for different values of the magnetic flux through the cycle determines the unique potential on the loop, provided the entries of the vertex scattering matrix S parametrizing matching conditions satisfy s(12)s(23)s(31) not equal s(13)s(21)s(32). This is in contrast to numerous examples showing that the potential on the loop cannot be reconstructed from the boundary measurements.
Place, publisher, year, edition, pages
2013. Vol. 54, no 4, 042103- p.
Mathematics Physical Sciences
IdentifiersURN: urn:nbn:se:su:diva-91311DOI: 10.1063/1.4799034ISI: 000318551900011OAI: oai:DiVA.org:su-91311DiVA: diva2:633326
FunderSwedish Research Council, 50092501