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Topological damping of Aharonov-Bohm effect: quantum graphs and vertex conditions
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0003-3256-6968
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0001-9725-0265
2015 (English)Report (Other academic)
Abstract [en]

The magnetic Schrödinger operator on the 8-shaped graph is studied. It is shown that for specially chosen vertex conditions the spectrum of the magnetic operator is independent on the flux through one of the loops, provided the flux through the other loop is zero. Topological reasons for this effect are explained.
Place, publisher, year, edition, pages
Stockholm: Stockholm University, 2015. , p. 12
Series
Research Reports in Mathematics, ISSN 1401-5617 ; 4
Keywords [en]
quantum graphs, vertex conditions, Aharonov-Bohm effect
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-115824OAI: oai:DiVA.org:su-115824DiVA, id: diva2:800312
Funder
Swedish Research Council, D0497301Available from: 2015-04-02 Created: 2015-04-02 Last updated: 2021-12-27Bibliographically approved

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fulltext(651 kB)428 downloads
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Kurasov, PavelSerio, Andrea

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CiteExportLink to record
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