Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a   moving pole
  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. 
Laura Abatangelo, Veronica Felli
math.AP