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

Diestler, Dennis J. and McKoy, Vincent (1968) Quantum-Mechanical Treatment of Inelastic Collisions. I. General Theory and Application to Nonreactive Collisions. Journal of Chemical Physics, 48 (7). pp. 2941-2950. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:DIEjcp68a

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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.


Item Type:Article
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.
Record Number:CaltechAUTHORS:DIEjcp68a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:DIEjcp68a
Alternative URL:http://dx.doi.org/10.1063/1.1669557
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10497
Collection:CaltechAUTHORS
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Deposited On:09 May 2008
Last Modified:26 Dec 2012 10:01

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