# New bounds on the Lieb-Thirring constants

@article{Hundertmark2000NewBO, title={New bounds on the Lieb-Thirring constants}, author={Dirk Hundertmark and Ari Laptev and Timo Weidl}, journal={Inventiones mathematicae}, year={2000}, volume={140}, pages={693-704} }

Abstract.Improved estimates on the constants Lγ,d, for 1/2<γ<3/2, d∈N, in the inequalities for the eigenvalue moments of Schrödinger operators are established.

## 71 Citations

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As is known, some results used for improving constants in the Lieb–Thirring inequalities for Schrödinger operators in L2(−∞, ∞) can be translated to discrete Schrödinger operators and, more…

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The aim of this paper is to find inequalities for 3/2 moments of the negative eigenvalues of Schrödinger operators on half-line that have a ‘Hardy term’ by using the commutator method.

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