- 13-5 Pavel Exner, Ari Laptev, Muhammad Usman
- On some sharp spectral inequalities for Schr\"odinger operators on semi-axis
Jan 21, 13
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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.