Abstract
Assuming that the separated pair ground state wave function of a 2N-electron system is already known a method is given for constructing a suitable orthogonal complement to the set of product functions built up from strongly orthogonal geminals. All terms are explicitly given which may have nonzero matrix element with the separated pair ground state. Using perturbational techniques a second order correction is calculated. In the case of Be atom the magnitudes of contributions from terms omitted in the generalized separated pair theory are estimated and found to be appreciable.
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