Electron correlation in Hooke's law atom in the high-density limit.
Closed-form expressions for the first three terms in the perturbation expansion of the exact energy and Hartree-Fock energy of the lowest singlet and triplet states of the Hooke's law atom are found. These yield elementary formulas for the exact correlation energies (-49.7028 and -5.807 65 mE(h)) of the two states in the high-density limit and lead to a pair of necessary conditions on the exact correlation kernel G(w) in Hartree-Fock-Wigner theory.
Gill
P M W
PM
Research School of Chemistry, Australian National University, Australian Capital Territory 0200, Australia. peter.gill@anu.edu.anu
O'Neill
D P
DP