Inequalities \`a la P\'olya for the Aharonov--Bohm eigenvalues of the disk

Autor:	Filonov, Nikolay, Levitin, Michael, Polterovich, Iosif, Sher, David A.
Rok vydání:	2023
Předmět:	Mathematics - Spectral Theory Mathematical Physics 35P15 (Primary) 35P20 33C10 11P21 81Q10 (Secondary)
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
Externí odkaz:	http://arxiv.org/abs/2311.14072 Zobrazit plný text záznamu View this record from Arxiv