%0 Journal Article %T New bounds on the Lieb-Thirring constants %A D. Hundertmark %A A. Laptev %A T. Weidl %J Physics %D 1999 %I arXiv %R 10.1007/s002220000077 %X Improved estimates on the constants $L_{\gamma,d}$, for $1/2<\gamma<3/2$, $d\in N$ in the inequalities for the eigenvalue moments of Schr\"{o}dinger operators are established. %U http://arxiv.org/abs/math-ph/9906013v1