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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 1664-039X 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.

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Item Type Article
URI https://reading-pure-test.eprints-hosting.org/id/eprint/115816
Identification Number/DOI 10.4171/JST/506
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
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