BooksStandalone TitlesCollected Volumepp. 345–360

The Lieb–Oxford bound and the optimal transport limit of DFT

  • Michael Seidl

    Vrije Universiteit, Amsterdam, Netherlands
  • Tarik Benyahia

    Vrije Universiteit, Amsterdam, The Netherlands
  • Derk P. Kooi

    Vrije Universiteit, Amsterdam, Netherlands
  • Paola Gori-Giorgi

    Vrije Universiteit, Amsterdam, Netherlands
The Lieb–Oxford bound and the optimal transport limit of DFT cover
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Abstract

We review and illustrate with several examples the connection between the search for lower bounds for the optimal constant in the Lieb–Oxford inequality and the optimal transport limit (or strictly-correlated-electrons limit) of density functional theory. We focus, in particular, on several contributions from Elliott Lieb which already hinted at this connection.