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

Nikolay Filonov; Michael Levitin; Iosif Polterovich; David A. Sher

doi:10.4171/jst/506

JournalsjstVol. 14, No. 2pp. 597–618

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

Nikolay Filonov
St. Petersburg Department of Steklov Institute of Mathematics of RAS, St. Petersburg, Russia; St. Petersburg State University, St. Petersburg, Russia
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- zbMATH Open
Michael Levitin
University of Reading, Reading, UK
Iosif Polterovich
Université de Montréal, Montréal, Canada
David A. Sher
DePaul University, Chicago, USA

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Abstract

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.

Cite this article

Nikolay Filonov, Michael Levitin, Iosif Polterovich, David A. Sher, Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk. J. Spectr. Theory 14 (2024), no. 2, pp. 597–618

DOI 10.4171/JST/506