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Semiclassical calculation of eigenvalues for a three-dimensional system

Noid, D. W. and Koszykowski, M. L. and Marcus, R. A. (1980) Semiclassical calculation of eigenvalues for a three-dimensional system. Journal of Chemical Physics, 73 (1). pp. 391-395. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:NOIjcp80b

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Abstract

A method utilizing integration along invariant curves on Poincaré's surfaces of section is described for the semiclassical calculation of eigenvalues for three and higher dimensional systems, supplementing thereby our previous work in two dimensions. The eigenvalues calculated for anharmonically coupled oscillators agree well with the exact quantum eigenvalues.


Item Type:Article
Additional Information:Copyright © 1980 American Institute of Physics. (Received 7 January 1990; accepted 26 March 1980) (One of us (D.W.N.) 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 Illinois and at California Institute of Technology), and the DOE (at Sandia, Livermore). We also wish to thank Mrs. Mary Ann Berg at the University of Illinois for helpful discussions on numerical techniques. Arthur Amos Noyes Laboratory of Chemical Physics, Contribution No. 6018.
Subject Keywords:SEMICLASSICAL APPROXIMATION, BOUND STATE, EIGENVALUES, QUANTUM MECHANICS, THREE–DIMENSIONAL CALCULATIONS, ANHARMONIC OSCILLATORS
Record Number:CaltechAUTHORS:NOIjcp80b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:NOIjcp80b
Alternative URL:http://dx.doi.org/10.1063/1.439886
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10938
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:19 Jun 2008
Last Modified:26 Dec 2012 10:06

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