Critical analysis of the Colle-Salvetti wave-function functional of the density

An analysis of the Colle-Salvetti (CS) wave-function functional of the dens ity as applied to the He atom shows: (i) it is not normalized; (ii) the cor responding Coulomb hole structure is inaccurate; (iii) the Coulomb hole sum rule is violated; (iv) the Coulomb component of the Kohn-Sham (KS) correla tion potential is inaccurate; (v) the KS correlation potential is erroneous ; (vi) the Coulomb correlation and correlation-kinetic-energy components of the KS correlation energy are in error. Thus, the description by this wave function of the physics of electron correlation is inaccurate. As such the results obtained via the CS wave function and those based on it are not we ll founded.[S1050-2947(99)05411-6].