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

Springer INdAM Series (2017) 22 1-30
DOI: 10.1007/978-3-319-64489-9_1
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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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Abatangelo, L., & Felli, V. (2017). Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole. In Springer INdAM Series (Vol. 22, pp. 1–30). Springer International Publishing. https://doi.org/10.1007/978-3-319-64489-9_1

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