Sharp Lieb-Thirring Inequalities in High Dimensions

Details Sharp Lieb-Thirring Inequalities in High Dimensions Sharp Lieb-Thirring Inequalities in High Dimensions

1999-03-03

arxiv.org/abs/math-ph/9903007v2

Physics

Mathematical Physics

Scientific paper

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

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