Noid, D. W. and Koszykowski, M. L. and Marcus, R. A. (1979) Semiclassical calculation of bound states in multidimensional systems with Fermi resonance. Journal of Chemical Physics, 71 (7). pp. 2864-2873. ISSN 0021-9606 http://resolver.caltech.edu/CaltechAUTHORS:NOIjcp79
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Abstract
A method is devised to calculate eigenvalues semiclassically for an anharmonic system whose two unperturbed modes are 2:1 degenerate. For some special states the periodic energy exchange between unperturbed modes is found to be very large. The quantum mechanical wave functions are examined and a correlation with the classical trajectories is described, both for quasiperiodic and the stochastic cases. A method used in the literature for calculating the stochastic limit is tested and found to break down when the present anharmonic system is separable.
| Item Type: | Article |
|---|---|
| Additional Information: | Copyright © 1979 American Institute of Physics. (Received 16 April 1979; accepted 26 June 1979) One of us (DWN) was supported by a Wigner Fellowship from ORNL. The research was sponsored by the U.S. Department of Energy under contract W-7405-eng-26 with the Union Carbide Corp. (at Oak Ridge), the National Science Foundation (at the University of lllinois and at California Institute of Technology) and the DOE (at Sandia Livermore). Arthur Amos Noyes Laboratory of Chemical Physics, Contribution No. 5920. |
| Subject Keywords: | SEMICLASSICAL APPROXIMATION, BOUND STATE, EIGENVALUES, FERMI RESONANCE, WAVE FUNCTIONS, QUANTUM MECHANICS, MOLECULES, VIBRATIONAL STATES |
| Record Number: | CaltechAUTHORS:NOIjcp79 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:NOIjcp79 |
| Alternative URL: | http://dx.doi.org/10.1063/1.438677 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 10939 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 19 Jun 2008 |
| Last Modified: | 26 Dec 2012 10:06 |
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