3 problems

Let $E_{\scriptscriptstyle\rm X}[n]$ be the exact exchange energy of an $N$-electron system with density $n$, and let the two-electron spin-unpolarized lower-bound constant be…

Let $E_{\scriptscriptstyle\rm X}[n]$ denote the exact exchange energy of an $N$-electron, spin-unpolarized system with density $n({\bf r})$. Perdew–Ruzsinszky–Sun–Burke's conjectur…

For a density $\rho$ on $\mathbb{R}^3$, let $E_{\rm ind}[\rho]$ be its indirect energy, and define the best Lieb–Oxford constant as the smallest constant $C$ such that … for all ad…