Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds

Simple item page
dc.creatorShubin, Mikhail
dc.date2000-07-04
dc.date2001-07-30
dc.date.accessioned2026-07-07T04:36:13Z
dc.date.available2026-07-07T04:36:13Z
dc.descriptionWe prove essential self-adjointness for semi-bounded below magnetic Schrödinger operators on complete Riemannian manifolds with a given positive smooth measure which is fixed independently of the metric. Some singularities of the scalar potential are allowed. This is an extension of the Povzner--Wienholtz--Simader theorem. The proof uses the scheme of Wienholtz but requires a refined invariant integration by parts technique, as well as a use of a family of cut-off functions which are constructed by a non-trivial smoothing procedure due to Karcher.
dc.description24 pages, revised version, to appear in Journal of Functional Analysis
dc.identifierhttps://arxiv.org/abs/math/0007019
dc.identifierhttp://arxiv.org/abs/math/0007019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59523
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35P05, 58G25
dc.titleEssential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds
dc.typetext

Files

Collections

arXiv