On Aharonov-Bohm operators with two colliding poles

Abstract

We consider Aharonov-Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eigenfunction.

References in corpus (1)

• On the eigenvalues of Aharonov-Bohm operators with varying poles: pole approaching the boundary of the domain