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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.
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Krauß et al. (1964) studied this question.
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