On some sharp spectral inequalities for Schr\"odinger operators on semi-axis
Mathematical Physics
2019-12-10 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
In this paper we obtain sharp Lieb-Thirring inequalities for a Schr\"odinger operator on semi-axis with a matrix potential and show how they can be used to other related problems. Among them are spectral inequalities on star graphs and spectral inequalities for Schr\"odinger operators on half-spaces with Robin boundary conditions.
Keywords
Cite
@article{arxiv.1301.4986,
title = {On some sharp spectral inequalities for Schr\"odinger operators on semi-axis},
author = {Pavel Exner and Ari Laptev and Muhammad Usman},
journal= {arXiv preprint arXiv:1301.4986},
year = {2019}
}