Ari Laptev (Imperial)

On some sharp spectral inequalities for Schroedinger operators on semiaxis

Abstract: We obtain sharp Lieb-Thirring inequalities for a Schroedinger operator on semiaxis 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 Schroedinger operators on half-spaces with Robin boundary conditions.