1301.4986 (Pavel Exner et al.)

On some sharp spectral inequalities for Schrödinger operators on
semi-axis    [PDF]

Pavel Exner, Ari Laptev, Muhammad Usman

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.

View original: http://arxiv.org/abs/1301.4986