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Semiclassical Theory for Collisions Involving Complexes (Compound State Resonances) and for Bound State Systems

Marcus, R. A. (1973) Semiclassical Theory for Collisions Involving Complexes (Compound State Resonances) and for Bound State Systems. Faraday Discussions of the Chemical Society, 55 . pp. 34-44. ISSN 0301-7249. doi:10.1039/DC9735500034. https://resolver.caltech.edu/CaltechAUTHORS:20150930-120150893

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Abstract

Semiclassical theory for bound states is discussed and a method is described for calculating the eigenvalues for systems not permitting separation of variables. Trajectory data are supplemented by interpolation to connect open ends of quasi-periodic trajectories. The method is also applied to quasi-bound states. Previously, semiclassical S-matrix theory has focused on “direct” reactions. Processes involving complexes (compound state resonances) are treated in the present paper and an expression is derived for the S-matrix. Use is made of the above analysis of quasi-bound states and of trajectories connecting those states with open channels. The result deduced for the S-matrix has the expected factorization property, and expressions are given for computing the quantities involved. Some extensions and applications will be described in later papers. An implication for classical trajectory calculations of complexes is noted.


Item Type:Article
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http://dx.doi.org/10.1039/DC9735500034DOIArticle
http://pubs.rsc.org/en/Content/ArticleLanding/1973/DC/dc9735500034PublisherArticle
ORCID:
AuthorORCID
Marcus, R. A.0000-0001-6547-1469
Additional Information:© 1973 Royal Society of Chemistry. Received 23rd January, 1973. This research was supported by a grant from the National Science Foundation at the University of Illinois.
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DOI:10.1039/DC9735500034
Record Number:CaltechAUTHORS:20150930-120150893
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150930-120150893
Official Citation:Semiclassical Theory for Collisions Involving Complexes (Compound State Resonances) and for Bound State Systems R. A. Marcus Faraday Disc. Chem. Soc. 55, 34 (1973)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:60606
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:30 Sep 2015 20:49
Last Modified:10 Nov 2021 22:36

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