On some sharp spectral inequalities for Schrödinger operators on semi-axis
arXiv:1301.4986 · doi:10.1007/s00220-014-1885-4
Abstract
In this paper we obtain sharp Lieb-Thirring inequalities for a Schrödinger 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 Schrödinger operators on half-spaces with Robin boundary conditions.