On Aharonov–Bohm Operators with Two Colliding Poles

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.

Detalles Bibliográficos
Autores principales: Abatangelo, Laura, Felli, Veronica, Léna, Corentin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: De Gruyter 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10506852/
https://www.ncbi.nlm.nih.gov/pubmed/37727772
http://dx.doi.org/10.1515/ans-2017-0004
Descripción
Sumario: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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