Inequalities \`a la P\'olya for the Aharonov--Bohm eigenvalues of the disk
Autor: | Filonov, Nikolay, Levitin, Michael, Polterovich, Iosif, Sher, David A. |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: v2: dedication added, journal's accepted version. 16 pages, 4 figures. A Mathematica script used for a computer-assisted part of the paper and its printout are available for download at https://michaellevitin.net/polya.html#AB |
Databáze: | arXiv |
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