Gill P M W, O'Neill D P
Research School of Chemistry, Australian National University, Australian Capital Territory 0200, Australia.
J Chem Phys. 2005 Mar 1;122(9):094110. doi: 10.1063/1.1862237.
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.
得到了胡克定律原子最低单重态和三重态精确能量及哈特里 - 福克能量微扰展开式中前三项的闭合形式表达式。这些表达式给出了高密度极限下两个态精确相关能（-49.7028和 -5.80765 mE(h)）的基本公式，并在哈特里 - 福克 - 维格纳理论中导出了关于精确相关核G(w)的一对必要条件。
