Topological damping of Aharonov-Bohm effect: quantum graphs and vertex conditions
Аннотация:
The magnetic Schrodinger 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.
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