Eigenvalue Bounds for a Class of Schrödinger Operators in a Strip

الملخص EN

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 LlnL norms of the potential.

Estimates involving the norms of the potential supported by a curve embedded in a strip are also presented.