The wave functions of electronically degenerate states

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Abstract
The dynamical coupling of nuclear and electronic motions in a degenerate electronic state is described by a complicated vibronic wave equation, because the adiabatic electronic functions vary rapidly during the vibrations. Hobey and McLachlan tried to show how special linear combinations of the electronic wave functions could be found, which vary slowly, and lead to a simpler wave equation. This paper points out a mistake in their argument, but corrects it, and shows that the simple wave equation is still justified. The new method is similar to Van Vleck's transformation in degenerate perturbation theory, and also applies to molecules which are almost degenerate.

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