Theory of Semiclassical Transition Probabilities for Inelastic and Reactive Collisions. II Asymptotic Evaluation of the S Matrix

摘要: The asymptotic evaluation of the integral representation for an S matrix element in a previously developed semiclassical theory molecular collisions is considered. evaluated asymptotically by method Chester, Friedman, and Ursell to give uniform approximation which valid classically accessible inaccessible transitions. results unify extend those derived, were restricted simple Airy function cases. A comparison made with simple, Airy, approximations that occur Miller's collisions. Although starting point two theories different, it concluded their are essentially identical. In addition, simpler derivation from wavefunction given, one avoids use Green's theorem.