On Aharonov-Bohm operators with two colliding poles

2016/12/13 by Laura Abatangelo, Abatangelo, Laura, Veronica Felli +3
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1612.04236

openalex publication_date 2016/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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

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