Pair Correlations in Closed-Shell Systems

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Abstract
Pair function equations have been derived exactly for a restricted class of trial functions containing only closed‐orbital pair correlations. In a matrix representation, it is shown that they reduce to a homogeneous pseudo‐eigenvalue equation. The results are equally applicable to any set of unitarily transformed set of Hartree—Fock orbitals. Comparisons are made with the Sinanoğlu scheme, and computational problems are discussed.