The solution of driven equations byRhyphen;matrix propagation methods

摘要

A method for the solution of the inhomogeneous (driven) Schrouml;dinger equation is presented which is a generalization of theRhyphen;matrix propagation technique developed by Light and Walker. The method is numerically stable and allows the direct calculation of transition matrix elements for photodissociation (or photoionization) from the asymptotic form of the wave function. Thus, no additional integrals need to be computed. The method makes direct contact with the work of Freedetal. and Heller and demonstrates that straightforward modifications of standard collision theory can be used for the halfhyphen;collision problem.