Abstract
A simple coupled harmonic oscillator model is used to test the SCF and adiabatic approximations for coupled-mode systems. Both approximations are quite good; both fail when the unperturbed frequencies of the two modes approach degeneracy. While for two-mode systems the approximations are roughly comparable, for real molecules, the more easily applied SCF is preferable. Semiclassical quantization may be used with both approximations.
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