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.
Cite this article
Joachim Stubbe, Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities. J. Eur. Math. Soc. 12 (2010), no. 6, pp. 1347–1353DOI 10.4171/JEMS/233