On the negative eigenvalues of two-dimensional Schro¨dinger operators with singular potentials
Date
2017
Authors
Karuhanga, Martin
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
In this paper quantitative upper estimates for the number of negative eigenvalues of a two dimensional Schro¨dinger operator with potential supported by an unbounded Lipschitz curve are presented. The estimates are given in terms of the weighted L1 and L log L type Orlicz norms of the potential.
Description
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.
Keywords
Negative eigenvalues, Schro¨dinger operators, Singular potentials