SCALING PROPERTIES AND LOCAL FORMS OF THE CORRELATION-ENERGY FUNCTIONAL

The scaling properties of the exact correlation-energy functional are applied in the study of the general rational, polynomial, and logarith mic local forms (and their combinations) of the correlation-energy fun ctional, which depend on the density. It is concluded that these forms cannot satisfy the uniform and nonuniform scaling properties at the s ame time; therefore, they would have to be modified to represent exact forms of the correlation-energy density functional, at least in the h igh-and low-density limits. These results are not affected by the appl ication of the local spin density or the self-interaction correction p rocedures to the above functionals. [S1050-2947(97)00312-0].