Quasi-Quantum Dynamics of Collinear Reactive Collisions using Operator methods

We calculate transition probabilities between discrete states of a diatomic molecule induced by an incoming atom. Our prototype Hamiltonian is constructed treating the translation classically and the internal variables quantum mechanically. The corresponding equations of motion are coupled quasi-classically. We present applications to a canonical ensemble of initial conditions as well as results for the time dependence of transition probabilities for different initial and final states. In the reactive case we are driven to using natural coordinates i.e. the reaction coordinate and the transverse vibrational coordinate.