Abstract
A theoretical basis for the analysis of the influence of electron correlation upon two-photon transition amplitudes in rare-earth ions has been introduced. The approach is based on the standard perturbation theory and on application of effective operators. It has been shown that in third-order perturbation theory electron-correlation effects are represented by one- and two-particle effective operators. In order to estimate the relative importance of various effective operators, test calculations for the Pr+3 ion have been performed.
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