An Eigenvalue Inequality for Schrödinger Operators with δ- and δ’-interactions Supported on Hypersurfaces
An Eigenvalue Inequality for Schrödinger Operators with δ- and δ’-interactions Supported on Hypersurfaces
We consider self-adjoint Schrödinger operators in $$L^2(\mathbb{R}^d)$$ with a δ-interaction of strength a and a δ’-interaction of strength ß, respectively, supported on a hypersurface, where a and ß-1 are bounded, real-valued functions. It is known that the inequality $$0<\beta\leq4/\alpha$$ implies inequality of the eigenvalues of these two operators below the …