Abstract
In this paper we obtain sharp Lieb–Thirring inequalities for a Schrödinger 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 Schrödinger operators on half-spaces with Robin boundary conditions.
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Exner, P., Laptev, A. & Usman, M. On Some Sharp Spectral Inequalities for Schrödinger Operators on Semiaxis. Commun. Math. Phys. 326, 531–541 (2014). https://doi.org/10.1007/s00220-014-1885-4
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DOI: https://doi.org/10.1007/s00220-014-1885-4