Counting negative eigenvalues of one-dimensional Schroedinger operators with singular potentials

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dc.contributor.authorKaruhanga, Martin
dc.date.accessioned2021-05-17T09:35:48Z
dc.date.available2021-05-17T09:35:48Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenyaen_US
dc.description.abstractIn this paper, we extend the well-known upper estimates of the Cwikel-Lieb-Rozenblum type for the number of negative eigenvalues of one-dimensional schroedinger operators with regular potentials to the case of strongly singular potentials. In particular, we consider the case when the potential is allowed to be a measure that is not necessarily absolutely continuous with respect to the Lebesgue measure.en_US
dc.description.sponsorshipMbarara University of Science and Technology, Ugandaen_US
dc.identifier.urihttp://hdl.handle.net/11071/11897
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectNegative eigenvaluesen_US
dc.subjectSchroedinger operatorsen_US
dc.subjectSingular potentialsen_US
dc.titleCounting negative eigenvalues of one-dimensional Schroedinger operators with singular potentialsen_US
dc.typeArticleen_US
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