Remarks on the semi-classical Hohenberg–Kohn functional
Remarks on the semi-classical Hohenberg–Kohn functional
In this note, we study an optimal transportation problem arising in density functional theory. We derive an upper bound on the semi-classical Hohenberg-Kohn functional derived by Cotar, Friesecke and Kl\"{u}ppelberg (2012) which can be computed in a straightforward way for a given single particle density. This complements a lower bound …