On the Leading Term of the Eigenvalue Variation for Aharonov-Bohm Operators with a Moving Pole
نویسندگان
چکیده
We study the behavior of certain eigenvalues for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We analyze the leading term in the Taylor expansion of the eigenvalue function as the pole moves in the interior of the domain, proving that it is a harmonic homogeneous polynomial and determining its exact coefficients.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 48 شماره
صفحات -
تاریخ انتشار 2016