paper

Spectral inequalities for Schroedinger operators with surface potentials

arXiv:0711.3473

Abstract

We prove sharp Lieb-Thirring inequalities for Schroedinger operators with potentials supported on a hyperplane and we show how these estimates are related to Lieb-Thirring inequalities for relativistic Schroedinger operators.

Dedicated to M. Sh. Birman on the occasion of his 80th birthday