Universal Monotonicity of Eigenvalue Moments and Sharp Lieb-Thirring Inequalities

Details Universal Monotonicity of Eigenvalue Moments and Sharp Lieb-Thirring Inequalities Universal Monotonicity of Eigenvalue Moments and Sharp Lieb-Thirring Inequalities

2008-10-09

arxiv.org/abs/0810.1573v2

Physics

Mathematical Physics

6 pages

Scientific paper

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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