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

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.

preprint2022arXivOpen access
Michael SeidlTarik BenyahiaDerk P. KooiPaola Gori-Giorgi
cond-mat.str-elphysics.chem-ph
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Michael SeidlTarik BenyahiaDerk P. KooiPaola Gori-Giorgi

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