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Semiclassical calculation of bound states in a multidimensional system for nearly 1:1 degenerate systems

Noid, D. W. and Marcus, R. A. (1977) Semiclassical calculation of bound states in a multidimensional system for nearly 1:1 degenerate systems. Journal of Chemical Physics, 67 (2). pp. 559-567. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:NOIjcp77b

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Abstract

The method is devised to calculate eigenvalues semiclassically for an anharmonic system whose two unperturbed modes are 1:1 degenerate, by introducing a curvilinear Poincaré surface of section. The results are in reasonable agreement with the quantum ones. The classical trajectories also frequently show a large energy exchange among the two unperturbed normal modes. Implications for Slater's theory of unimolecular reactions, which neglects this effect, and for "quantum ergodicity" are described.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.434911DOIUNSPECIFIED
http://link.aip.org/link/?JCPSA6/67/559/1PublisherUNSPECIFIED
Additional Information:Copyright © 1977 American Institute of Physics. Received 4 March 1977.
Record Number:CaltechAUTHORS:NOIjcp77b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:NOIjcp77b
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11399
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:12 Aug 2008 17:56
Last Modified:26 Dec 2012 10:13

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