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Inverse problems for Aharonov-Bohm rings
Stockholm University, Faculty of Science, Department of Mathematics.
2010 (English)In: Mathematical proceedings of the Cambridge Philosophical Society (Print), ISSN 0305-0041, E-ISSN 1469-8064, Vol. 148, 331-362 p.Article in journal (Refereed) Published
Abstract [en]

The inverse problem for Schrodinger operators on metric graphs is investigated in the presence of magnetic field. Graphs without loops and with Euler characteristic zero are considered. It is shown that the knowledge of the Tachmarsh-Weyl matrix function (Dirichletto-Neumann map) for just two values of the magnetic field allows one to reconstruct the graph and potential on it provided a certain additional no-resonance condition is satisfied.

Place, publisher, year, edition, pages
2010. Vol. 148, 331-362 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-78591DOI: 10.1017/S030500410999034XISI: 000276134300008OAI: oai:DiVA.org:su-78591DiVA: diva2:541785
Available from: 2012-07-23 Created: 2012-07-23 Last updated: 2017-12-07Bibliographically approved

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