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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 3, Pages 309–319
DOI: https://doi.org/10.17586/2220-8054-2015-6-3-309-319 (Mi nano945) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Topological damping of Aharonov–Bohm effect: quantum graphs and vertex conditions

P. Kurasov, A. Serio

Department of Mathematics, Stockholm University,106 91 Stockholm, Sweden
Full-text PDF (239 kB) Citations (2)
DOI: https://doi.org/10.17586/2220-8054-2015-6-3-309-319
Abstract: The magnetic Schroödinger operator was studied on a figure 8-shaped graph. It is shown that for specially chosen vertex conditions, the spectrum of the magnetic operator is independent of the flux through one of the loops, provided the flux through the other loop is zero. Topological reasons for this effect are explained.
Keywords: quantum graphs, magnetic field, trace formula.
Funding agency Grant number
Swedish Research Council D0497301
The work of PK was partially supported by the Swedish Research Council (Grant D0497301) and ZiF-Zentrum für interdisziplinre Forschung, Bielefeld (Cooperation Group Discrete and continuous models in the theory of networks).
Received: 02.04.2015
Bibliographic databases:
Document Type: Article
PACS: 02.30.Tb, 03.65.Vf, 05.60.Gg
Language: English
Citation: P. Kurasov, A. Serio, “Topological damping of Aharonov–Bohm effect: quantum graphs and vertex conditions”, Nanosystems: Physics, Chemistry, Mathematics, 6:3 (2015), 309–319
Citation in format AMSBIB
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\by P.~Kurasov, A.~Serio
\paper Topological damping of Aharonov--Bohm effect: quantum graphs and vertex conditions
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 3
\pages 309--319
\mathnet{http://mi.mathnet.ru/nano945}
\crossref{https://doi.org/10.17586/2220-8054-2015-6-3-309-319}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000219892200001}
\elib{https://elibrary.ru/item.asp?id=23597176}
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  • https://www.mathnet.ru/eng/nano/v6/i3/p309
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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