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On some sharp spectral inequalities for Schrödinger operators on semi-axis (1301.4986v1)
Published 21 Jan 2013 in math-ph, math.MP, math.SP, and quant-ph
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.
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