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arxiv: 0810.1573 · v2 · submitted 2008-10-09 · 🧮 math-ph · math.MP

Universal Monotonicity of Eigenvalue Moments and Sharp Lieb-Thirring Inequalities

classification 🧮 math-ph math.MP
keywords boundsinequalitieslieb-thirringmonotonicitysharpuniversalauthorconstants
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We show that phase space bounds on the eigenvalues of Schr\"{o}dinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb-Thirring inequalities.

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