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Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole (1612.01330v1)
Published 5 Dec 2016 in math.AP
Abstract: We study the behavior of eigenfunctions for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We prove a sharp estimate for the rate of convergence of eigenfunctions as the pole moves in the interior of the domain.
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