Abstract
We show that perturbation theory by the method of moments is suitable for the calculation of vibrational energy levels for models of local-mode stretching vibrations, characterized by strongly mixed, degenerate unperturbed states. Simple recurrence relations give the perturbation corrections to the energy and moments of the selected state. We explicitly consider the vibrational energy levels of three- and four-dimensional coupled Morse-oscillator models, parametrized for the stretching modes of ammonia and silane, respectively, and address the problem of avoided crossings.
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