Eigenvalue Bounds for a Class of Schrödinger Operators in a Strip

Martin Karuhanga

Journal of Mathematics, 2018, vol. 2018, 1-8

Abstract:

This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of Schrödinger operators in a strip subject to Neumann boundary conditions. The estimates involve weighted norms and norms of the potential. Estimates involving the norms of the potential supported by a curve embedded in a strip are also presented.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7172356

DOI: 10.1155/2018/7172356

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