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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
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.
Received: 02.04.2015
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
Linking options:
https://www.mathnet.ru/eng/nano945 https://www.mathnet.ru/eng/nano/v6/i3/p309
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Abstract page: | 33 | Full-text PDF : | 14 |
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