Spectral inequalities for Schroedinger operators with surface potentials
Mathematical Physics
2007-11-27 v1 math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.0711.3473,
title = {Spectral inequalities for Schroedinger operators with surface potentials},
author = {Rupert L. Frank and Ari Laptev},
journal= {arXiv preprint arXiv:0711.3473},
year = {2007}
}
Comments
Dedicated to M. Sh. Birman on the occasion of his 80th birthday