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Wigner's (2n + 1) rule (stating that the 2nth and/or (2n + 1)th order perturbation contributions to a non-degenerate energy can be evaluated from a knowledge of the wavefunction through nth order) is applied to many-body perturbation theory (MBPT). This approach essentially simplifies the calculation of correlation energy to an order higher than the third and reduces the number of required diagrams.
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Kvasnička et al. (1980) studied this question.
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