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Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk

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Filonov, N., Levitin, M. ORCID: https://orcid.org/0000-0003-0020-3265, Polterovich, I. and Sher, D. A. (2024) Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk. Journal of Spectral Theory, 14 (2). pp. 597-618. ISSN 1664-0403

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To link to this item DOI: 10.4171/JST/506

Abstract/Summary

We prove an analogue of Pólya’s conjecture for the eigenvalues of the magnetic Schrödinger operator with Aharonov–Bohm potential on the disk, for Dirichlet and magnetic Neumann boundary conditions. This answers a question posed by R. L. Frank and A. M. Hansson in 2008.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:115816
Publisher:European Mathematical Society
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