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Eigenvalue Bounds for a Class of Schrödinger Operators in a Strip

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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… Click to show full 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 L1 norms and Lln⁡L norms of the potential. Estimates involving the norms of the potential supported by a curve embedded in a strip are also presented.

Keywords: eigenvalue bounds; dinger operators; bounds class; operators strip; schr dinger

Journal Title: Journal of Mathematics
Year Published: 2018

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