Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities

Stubbe, Joachim

doi:10.4171/JEMS/233

Universal monotonicity of eigenvalue moments and sharp Lieb-Thirring inequalities

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.

Published in:

Journal Of The European Mathematical Society, 12, 1347-1353

Year:

2010

Keywords:

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

DOI:

10.4171/JEMS/233

Other identifiers:

View record in Web of Science

Laboratories:

MATHGEOM