Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Inverse scattering for lasso graph
Stockholm University, Faculty of Science, Department of Mathematics.
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
Abstract [en]

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.
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-91311DOI: 10.1063/1.4799034ISI: 000318551900011OAI: oai:DiVA.org:su-91311DiVA: diva2:633326
Funder
Swedish Research Council, 50092501
Note

AuthorCount:1;

Available from: 2013-06-26 Created: 2013-06-24 Last updated: 2017-12-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Kurasov, Pavel
By organisation
Department of Mathematics
In the same journal
Journal of Mathematical Physics
MathematicsPhysical Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 71 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf