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

Dirk Hundertmark, Elliott H. Lieb, Lawrence E. Thomas

Research output: Contribution to journalArticlepeer-review

59 Scopus citations

Abstract

We give a proof of the Lieb-Thirring inequality in the critical case d = 1, γ = 1/2, which yields the best possible constant.

Original languageEnglish (US)
Pages (from-to)719-731
Number of pages13
JournalAdvances in Theoretical and Mathematical Physics
Volume2
Issue number4
DOIs
StatePublished - Jul 1998

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Physics and Astronomy

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