Polya's conjecture in the presence of a constant magnetic field

dc.creatorFrank, Rupert L.
dc.creatorLoss, Michael
dc.creatorWeidl, Timo
dc.date2007-10-04
dc.date.accessioned2026-07-07T08:34:11Z
dc.date.available2026-07-07T08:34:11Z
dc.descriptionWe consider the Dirichlet Laplacian with a constant magnetic field in a two-dimensional domain of finite measure. We determine the sharp constants in semi-classical eigenvalue estimates and show, in particular, that Polya's conjecture is not true in the presence of a magnetic field.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0710.1078
dc.identifierhttp://arxiv.org/abs/0710.1078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139348
dc.subjectMathematical Physics
dc.titlePolya's conjecture in the presence of a constant magnetic field
dc.typetext

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