Table 2 Mean scaled distances \({\hat{D}}_{\psi }\) and \({\hat{D}}_{\rho }\) to three decimal places of one million random wave functions and their densities from the exact wave function and exact density for U = 4, N = d/2 and open boundary conditions.

From: Testing density-functional approximations on a lattice and the applicability of the related Hohenberg-Kohn-like theorem