- 99-229 A. Laptev and T. Weidl
- Sharp Lieb-Thirring Inequalities in High Dimensions
(60K, LaTeX2e)
Jun 16, 99
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Abstract. 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
$L^{\mbox{\footnotesize\upshape cl}}_{\gamma,d}$ with
$\gamma\ge 3/2$ and arbitrary $d\ge 1$.
(revised, to appear in Acta Math)
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