Stine, J. and Marcus, R. A. (1972) Theory of semiclassical transition probabilities for inelastic and reactive collisions. IV. Classically-inaccessible transitions calculated by integration along complex-valued trajectories. Chemical Physics Letters, 15 (4). pp. 536-544. ISSN 0009-2614. doi:10.1016/0009-2614(72)80366-X. https://resolver.caltech.edu/CaltechAUTHORS:20150708-150702676
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Abstract
We calculate semiclassical S-matrix elements S_(mn) by numerical integration along complex-valued trajectories, by avoiding (simply) previously reported trajectory divergences. Now, one can numerically calculate even ❘S_(mn)❘ ≈ 10^(−11) for the Secrest-Johnson system (their lowest ❘S_(mn)❘^2), instead of only ❘S_(mn)❘^2 > 10^(−3). Agreement is excellent.
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| Additional Information: | © 1972 Published by Elsevier B.V. Received 26 May 1972, Available online 20 November 2001. Acknowledgement is made to the donors of the Petroleum Research Fund administered by the American Chemical Society, and to the National Science Foundation for their support of this research. We should like to thank Professor J.O. Hirschfelder for his helpful criticisms, which served to clarify this presentation. | |||||||||
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| Issue or Number: | 4 | |||||||||
| DOI: | 10.1016/0009-2614(72)80366-X | |||||||||
| Record Number: | CaltechAUTHORS:20150708-150702676 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150708-150702676 | |||||||||
| Official Citation: | J. Stine, R.A. Marcus, Theory of semiclassical transition probabilities for inelastic and reactive collisions. IV. Classically-inaccessible transitions calculated by integration along complex-valued trajectories, Chemical Physics Letters, Volume 15, Issue 4, 1 September 1972, Pages 536-544, ISSN 0009-2614, http://dx.doi.org/10.1016/0009-2614(72)80366-X. (http://www.sciencedirect.com/science/article/pii/000926147280366X) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 58815 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 08 Jul 2015 22:35 | |||||||||
| Last Modified: | 10 Nov 2021 22:10 |
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