M. Levy et A. Gorling, CORRELATION-ENERGY DENSITY-FUNCTIONAL FORMULAS FROM CORRELATING FIRST-ORDER DENSITY-MATRICES, Physical review. A, 52(3), 1995, pp. 1808-1810
Explicit formal formulas for exact density-functional correlation ener
gies are derived and expressed in terms of correlating first-order den
sity matrices (one-matrices) that are functionals of the density. The
correlation energy for a full calculation is considered, as well as on
e intended as an addition to a completed calculation that excludes cor
relation. Several constraints for the one-matrices are shown.