A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator

@article{Hundertmark1998ASB,
  title={A sharp bound for an eigenvalue moment of the one-dimensional Schr{\"o}dinger operator},
  author={Dirk Hundertmark and Elliott H. Lieb and Lawrence E. Thomas},
  journal={Advances in Theoretical and Mathematical Physics},
  year={1998},
  volume={2},
  pages={329-341}
}
We give a proof of the Lieb-Thirring inequality in the critical case d=1, γ = 1/2, which yields the best possible constant. 
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