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