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

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

arxiv（2023）

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摘要

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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