Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published April 1, 1968 | public
Journal Article Open

Quantum-Mechanical Treatment of Inelastic Collisions. I. General Theory and Application to Nonreactive Collisions

Abstract

A general method for the quantum-mechanical treatment of the inelastic collision of composite particles is presented. The method, which is applicable to both nonreactive and reactive collisions, consists of constructing the total stationary scattering wavefunction describing the collision as a linear combination of linearly independent functions which satisfy the Schödinger equation and also arbitrary boundary conditions specified in the asymptotic region. The formalism is developed for nonreactive collisions using a collinear model to simplify the mathematical treatment. In this paper, it is applied to two examples of impulsive collisions. In one case, for which a comparison is possible, calculated transition probabilities agree well with previously published values.

Additional Information

Copyright © 1968 American Institute of Physics. Received 18 October 1967. We wish to thank Dr. Merle E. Riley and Professor Aron Kuppermann for numerous helpful discussions. [D.J.D. was an] NSF Predoctoral Fellow 1964-1967. This paper is based on part of the thesis D.J.D. submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy at the California Institute of Technology. Gates and Crellin Laboratories of Chemistry, Contribution No. 3596.

Files

DIEjcp68a.pdf
Files (806.0 kB)
Name Size Download all
md5:18dda9c37477c6732c82f081739dff7a
806.0 kB Preview Download

Additional details

Created:
August 21, 2023
Modified:
October 16, 2023