Persistent currents for the 2D Schrödinger operator with a strong δ-interaction on a loop
- 8 April 2002
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 35 (15) , 3479-3487
- https://doi.org/10.1088/0305-4470/35/15/309
Abstract
We investigate the two-dimensional magnetic Schrödinger operator HB,β = (−i∇ − A)2 − βδ( − Γ), where Γ is a smooth loop and the vector potential A corresponds to a homogeneous magnetic field B perpendicular to the plane. The asymptotics of negative eigenvalues of HB,β for β → ∞ is found. It shows, in particular, that for large enough positive β the system exhibits persistent currents.Keywords
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