The relation of the straightforward Rayleigh‐Schrödinger perturbation theory for the interaction of two atoms to the asymptotic exchange theory is described. The one‐electron case of a hydrogen atom perturbed by a nucleus is examined in detail. It is shown that the asymptotic theory contains an infinite summation of terms in the Rayleigh‐Schrödinger series. The nature of the branching between states and its implications for convergence is elucidated.
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Whitton et al. (1976) studied this question.
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