An eigenvalue inequality for Schrödinger operators with $\delta$ and ${\delta }^{\prime }$-interactions supported on hypersurfaces

Vladimir Lotoreichik, Jonathan Rohleder

We consider self-adjoint Schrödinger operators in $L^2({\mathbb{R}}^d)$ with a $\delta$-interaction of strength $\alpha$ and a ${\delta }^{\prime }$-interaction of strength $\beta$, respectively, supported on a h…