Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities

• Published in: Journal Of The European Mathematical Society, vol. 12, p. 1347-1353
• Publication date: 2010

We show that phase space bounds on the eigenvalues of Schrodinger 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.

Keywords: Universal bounds for eigenvalues ; spectral gap ; phase space bounds ; Lieb-Thirring inequalities ; Schrodinger operators ; Riesz Means ; Conjecture ; Operators ; Bounds ; Proof

Reference

• EPFL-ARTICLE-172052
• doi:10.4171/JEMS/233
• View record in Web of Science

Record created on 2011-12-16, modified on 2017-09-23