paper

Universal Monotonicity of Eigenvalue Moments and Sharp Lieb-Thirring Inequalities

arXiv:0810.1573

Abstract

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

Universal Monotonicity of Eigenvalue Moments and Sharp Lieb-Thirring Inequalities · wovepaper