Rk. Nesbet, ALTERNATIVE DENSITY-FUNCTIONAL THEORY FOR ATOMS AND MOLECULES, Journal of physics. B, Atomic molecular and optical physics, 29(6), 1996, pp. 173-179
A reference state whose electronic density is not necessarily equal to
the true ground-state density is used in theoretical methods for elec
tronic correlation in atoms and molecules. Because the density functio
nal theory of Kohn and Sham postulates a model system for which these
two density functions are identical, this postulate appears to preclud
e use of this model state as a reference state when formulating many-B
ody corrections to the theory. This conflict is resolved by expressing
the ground-state energy as a functional of the electronic density of
a reference state determined by maximizing its projection on the true
wavefunction.