Analytic and numerical approach to multidimensional predissociation and resonance Raman scattering

Scattering theory is used to show that resonance Raman scattering and predissociation probabilities for multidimensional systems can be obtained from numerical solutions of the appropriate scattering coupled equations. Analytic results are presented for two-dimensional systems in terms of Airy functions. These analytic results are used to verify the coupled equations approach. An example is presented for the resonant photon scattering by an electronic state with one bound and one dissociative mode.