Explicit Functionals II: The Local Density Approximation and Beyond

Abstract

The ground state energy functional of the Hohenberg-Kohn formulation (2.10, 11) can be written as

$${E_{v}}[n] = G[n] + \int {{d^{3}}rv(r)n(r) + \frac{1}{2}{{\int d }^{3}}r{d^{3}}{r^{'}}w(r,{r^{'}})n(r)n({r^{'}})} $$

((7.1))