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arxiv: 1612.04236 · v1 · pith:PIU72ZDDnew · submitted 2016-12-13 · 🧮 math.AP

On Aharonov-Bohm operators with two colliding poles

classification 🧮 math.AP
keywords polesaharonov-bohmoperatorsasymptoticscollapsecollidingconsidereigenfunction
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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.

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