Connor, J. N. L. and Marcus, R. A. (1970) Theory of Reactive Collisions: Conformal Transformation. Journal of Chemical Physics, 53 (8). pp. 3188-3191. ISSN 0021-9606. doi:10.1063/1.1674468. https://resolver.caltech.edu/CaltechAUTHORS:CONjcp70
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Abstract
Conformal mapping techniques are applied to the Schrödinger equation for a bimolecular exchange reaction, with all three atoms lying on a line. For the case of a very heavy central mass, the extension of the theory to three dimensions is indicated. An angle-shaped region of the potential-energy surface is mapped onto an infinite strip in order to simplify the theoretical treatment of the boundary conditions. The mapping function is determined with the help of the Schwarz–Christoffel formula, and its properties described. The transformed Schrödinger equation is converted into an integral equation using the method of Green's functions, and integral representations for the reflection and transmission coefficients are obtained.
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| Additional Information: | Copyright © 1970 American Institute of Physics. Received 9 June 1970. Acknowledgment is made to the donors of the Petroleum Research Fund, administrated by the American Chemical Society, for partial support of this research. This research was also supported by a grant from the National Science Foundation at the University of Illinois. | |||||||||
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| Issue or Number: | 8 | |||||||||
| DOI: | 10.1063/1.1674468 | |||||||||
| Record Number: | CaltechAUTHORS:CONjcp70 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:CONjcp70 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 11791 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Archive Administrator | |||||||||
| Deposited On: | 29 Sep 2008 20:53 | |||||||||
| Last Modified: | 08 Nov 2021 22:02 |
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