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arXiv · 2311.14072

Inequalities \`a la P\'olya for the Aharonov--Bohm eigenvalues of the disk

Nikolay Filonov·Michael Levitin·Iosif Polterovich·David A. Sher
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Abstract

We prove an analogue of P\'olya's conjecture for the eigenvalues of the magnetic Schr\"odinger 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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Nikolay Filonov, Michael Levitin, Iosif Polterovich, David A. Sher. 2023-11-23. Inequalities \`a la P\'olya for the Aharonov--Bohm eigenvalues of the disk. https://arxiv.org/abs/2311.14072

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