Universal Monotonicity of Eigenvalue Moments and Sharp Lieb-Thirring Inequalities

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We show that phase space bounds on the eigenvalues of Schrödinger 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.
6 pages

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