Using the Kohn–Sham formalism in pair density-functional theories

There has been some recent interest in ‘generalized’ density functional theories, in which the fundamental variable is the density of electron pairs (pair density), instead of the electron density. Much of the work along these lines has focused on Weisacker-type functionals of the density and has not explicitly considered the N-representability problem. As is discussed here, such theories cannot be accurate. Some new functionals for the kinetic …