2 problems

Let $E(\rho)$ be the density-functional energy of a non-negative density $\rho$ and let $e_{\rm UEG}$ denote the uniform electron gas energy density. Suppose $\rho$ satisfies the r…

Finer-scale density approximation conjecture. The estimate above can be improved to show that $\varrho^{\mathrm{af}}$ is close to $\varrho^{\mathrm{TF}}_\beta$ on finer length scal…