Perturbed Symmetric Resonance: The Parabolic Model.

摘要

An exact parabolic model for perturbed symmetric resonance is developed and solved. To supplement the Zwaan-Stueckelberg theory a comparison-equation method is adopted. It reduces the problem to parabolic cylinder function factors, for which the corresponding diabatic crossing is classically inaccessible. Appeal to the author's previous strong-coupling expansions for parabolic cylinder functions of large order and argument is made to reinforce the view that the adiabatic treatment gives the more precise picture. Both semiclassical and impact-parameter derivations are given. Previous formulae as reported by the author are proven. (Author)