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AHARONOV-BOHM RING TOUCHING A QUANTUM WIRE: HOW TO MODEL IT AND TO SOLVE THE INVERSE PROBLEM
Stockholm University, Faculty of Science, Department of Mathematics.
2011 (English)In: Reports on mathematical physics, ISSN 0034-4877, E-ISSN 1879-0674, Vol. 68, no 3, 271-287 p.Article in journal (Refereed) Published
Abstract [en]

An explicitly solvable model of the gated Aharonov-Bohm ring touching a quantum wire is constructed and investigated. The inverse spectral and scattering problems are discussed. It is shown that the Titchmarsh-Weyl matrix function associated with the boundary vertices determines a unique electric potential on the graph even though the graph contains a loop. This system gives another family of isospectral quantum graphs.

Place, publisher, year, edition, pages
2011. Vol. 68, no 3, 271-287 p.
Keyword [en]
quantum graphs, inverse problems
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-74038DOI: 10.1016/S0034-4877(12)60010-XISI: 000299755800003OAI: oai:DiVA.org:su-74038DiVA: diva2:506720
Note
authorCount :2Available from: 2012-02-29 Created: 2012-02-28 Last updated: 2017-12-07Bibliographically approved

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