Inequalities à la Pólya for the Aharonov--Bohm eigenvalues of the disk
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929282855469056 |
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| author | Filonov, Nikolay Levitin, Michael Polterovich, Iosif Sher, David A. |
| author_facet | Filonov, Nikolay Levitin, Michael Polterovich, Iosif Sher, David A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_14072 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Inequalities à la Pólya for the Aharonov--Bohm eigenvalues of the disk Filonov, Nikolay Levitin, Michael Polterovich, Iosif Sher, David A. Spectral Theory Mathematical Physics 35P15 (Primary) 35P20, 33C10, 11P21, 81Q10 (Secondary) 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. |
| title | Inequalities à la Pólya for the Aharonov--Bohm eigenvalues of the disk |
| topic | Spectral Theory Mathematical Physics 35P15 (Primary) 35P20, 33C10, 11P21, 81Q10 (Secondary) |
| url | https://arxiv.org/abs/2311.14072 |