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.

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

Abatangelo L.;Felli V.
2017-01-01

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.
2017
Springer INdAM Series
9783319644882
9783319644899
Aharonov-Bohm potential
Convergence of eigenfunctions
Magnetic Schrödinger operators
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1180553
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