2 problems

RPA correlation-energy conjecture. Even with attractive potentials, the RPA formula for the correlation energy applies as long as the logarithm in $E_N^{\operatorname{RPA}}$ does n…

Let $\hat{V}:\mathbb{Z}^3\to\mathbb{R}$ be non-negative and compactly supported. Let $k_F>0$ be the Fermi momentum, let … be the number of particles, set $\hbar=N^{-1/3}$, and defi…