Eigenvalue bounds for a class of Schrödinger operators in a strip (Q1728874)

Summary: 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 \(L^1\) norms and \(L \ln L\) norms of the potential. Estimates involving the norms of the potential supported by a curve embedded in a strip are also presented.