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19992023
most citedLieb-Thirring inequalities for Schrödinger operators with complex-valued potentials

99 citations · 403 across the 43 of their papers we have counts for

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math-ph1999★ 65 cited

New bounds on the Lieb-Thirring constants

D. Hundertmark, A. Laptev, T. Weidl

Improved estimates on the constants , for , in the inequalities for the eigenvalue moments of Schrödinger operators are established.

math-ph1999

Sharp Lieb-Thirring Inequalities in High Dimensions

A. Laptev, T. Weidl

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^{…