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

  • Michael Levitin

    University of Reading, Reading, UK

  • Iosif Polterovich

    Université de Montréal, Montréal, Canada

  • David A. Sher

    DePaul University, Chicago, USA
Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk cover
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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