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arXiv · 1612.01330

Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole

Laura Abatangelo·Veronica Felli
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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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Laura Abatangelo, Veronica Felli. 2016-12-05. Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole. https://arxiv.org/abs/1612.01330

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