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.

Keywords

• asymptotics of eigenvalues
• aharonov–bohm operators
• 35p20
• 35p15
• 35j10