Counting negative eigenvalues of one-dimensional Schroedinger operators with singular potentials
Date
2019-08
Authors
Karuhanga, Martin
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
In 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.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Negative eigenvalues, Schroedinger operators, Singular potentials