Geometric interpretation of the adiabatic model for heavy-ion fusion

The relation between the finite basis adiabatic model and the classical adiabatic model (corresponding to a complete set of degenerate states) is elucidated when the internal system is rotational or vibrational. It is shown that the finite basis results can be obtained from the classical model results using the Gaussian quadrature to evaluate the former and Hermite quadrature for the latter.