arXiv subjects

T. Weidl

Publications and source records attributed to T. Weidl.

2 recordsLinked to original sources

arXiv1999

Sharp Lieb-Thirring Inequalities in High Dimensions

We show how a matrix version of the Buslaev-Faddeev-Zakharov trace formulae for a one-dimensional Schrödinger operator leads to Lieb-Thirring inequalities with sharp constants $L^{cl}_{γ,d}$ with $γ\ge 3/2$ and arbitrary $d\ge 1$. (revised, to appear in Acta Math)

math-ph↗

arXiv1999

New bounds on the Lieb-Thirring constants

Improved estimates on the constants $L_{γ,d}$, for $1/2<γ<3/2$, $d\in N$ in the inequalities for the eigenvalue moments of Schrödinger operators are established.

math-ph↗