Classical electronic autoionization under molecular oscillations

We study the influence of the molecular oscillations over a classical Rydberg electron via an approximated periodic driven Hamiltonian with one degree of freedom. We consider several approximations in order to obtain estimates for the chaos border, the diffusion prevision and the appearance of quantum localization. The model is adapted to some classes of molecules and infers conditions for the autoionization of generic molecular systems as function of the vibrational frequency, the eccentricity of the trajectories and nuclear reduced mass.