Abstract
Procedures are investigated for describing classically forbidden collision processes within the framework of the classical limit of quantum mechanics. The goal is to use exact classical mechanics (numerically computed trajectories) to treat classically forbidden transitions in a complex collision (such as an atom plus diatom) in a manner analogous to the way one uses it to treat barrier transmission by a single particle in one dimension (a classically forbidden process); in this latter example the transmission coefficient is exp(−2 O), θ being the classical action integral through the barrier (a classically forbidden region). Numerical application of these procedures is made to the linear atom-diatom collision system (without reaction), and the resulting vibrational probabilities for the classically forbidden transitions are in as good agreement with the exact quantum mechanical values are the transition probabilities for classically allowed transitions. It appears, therefore, that the dynamics of even these classically forbidden transitions is accurately described in this semiclassical framework.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
