Geodesic
Topological damping of Aharonov–Bohm effect: quantum graphs and vertex conditions
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 3, pp. 309-319 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : trace formula. 
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     author = {P. Kurasov and A. Serio},
     title = {Topological damping of {Aharonov{\textendash}Bohm} effect: quantum graphs and vertex conditions},
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P. Kurasov; A. Serio. Topological damping of Aharonov–Bohm effect: quantum graphs and vertex conditions. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 3, pp. 309-319. http://geodesic.mathdoc.fr/item/NANO_2015_6_3_a0/