Counting Schrödinger boundstates: semiclassics and beyond

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dc.creatorRozenblum, G.
dc.creatorSolomyak, M.
dc.date2008-03-21
dc.date2008-11-22
dc.date.accessioned2026-07-07T10:19:50Z
dc.date.available2026-07-07T10:19:50Z
dc.descriptionThis is a survey of the basic results on the behavior of the number of the eigenvalues of a Schrödinger operator, lying below its essential spectrum. We discuss both fast decaying potentials, for which this behavior is semiclassical, and slowly decaying potentials, for which the semiclassical rules are violated. Some new results are presented, concerning operators on product manifolds and graphs.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0803.3138
dc.identifierhttp://arxiv.org/abs/0803.3138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174653
dc.subjectSpectral Theory
dc.subject35P15; 47F05
dc.titleCounting Schrödinger boundstates: semiclassics and beyond
dc.typetext

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