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The Lieb-Thirring inequality revisited

Mathematical Physics 2024-01-31 v1 math.MP

Abstract

We provide new estimates on the best constant of the Lieb-Thirring inequality for the sum of the negative eigenvalues of Schr\"odinger operators, which significantly improve the so far existing bounds.

Cite

@article{arxiv.1808.09017,
  title  = {The Lieb-Thirring inequality revisited},
  author = {Rupert L. Frank and Dirk Hundertmark and Michal Jex and Phan Thành Nam},
  journal= {arXiv preprint arXiv:1808.09017},
  year   = {2024}
}

Comments

14 pages

R2 v1 2026-06-23T03:45:19.701Z