DOI: 10.1063/1.467665. Semiclassical propagation for multidimensional systems by an initial value method

Semiclassical propagation for multidimensional systems by an initial value method

10.1063/1.467665

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

A semiclassical initial value technique for wave function propagation described by Herman and Kluk [Chem. Phys. 91, 27 (1984)] is tested for systems with two degrees of freedom. It is found that chaotic trajectories cause a serious deterioration in the accuracy and convergence of the technique. A simple procedure is developed to alleviate these difficulties, allowing one to propagate wave functions of a moderately chaotic system for relatively long times with good accuracy. This method is also applied to a very strongly chaotic system, the x2y2 or ‘‘quadric oscillator’’ model. The resulting energy spectra, obtained from the autocorrelation function of the wave function, are observed to be in good agreement with the corresponding quantal spectra. In addition, the density of states spectra, computed from the trace of the semiclassical propagator, are found to determine many individual energy levels of this system successfully.

Bibliography

Kay, K. G. (1994). Semiclassical propagation for multidimensional systems by an initial value method. The Journal of Chemical Physics, 101(3), 2250â2260.

Authors 1

Kenneth G. Kay (first)

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Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:12 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 8:09 p.m.)
Indexed	2 months ago (July 2, 2025, 3:26 p.m.)
Issued	31 years, 1 month ago (Aug. 1, 1994)
Published	31 years, 1 month ago (Aug. 1, 1994)
Published Print	31 years, 1 month ago (Aug. 1, 1994)

Funders 0

None

BibTeX

@article{Kay_1994, title={Semiclassical propagation for multidimensional systems by an initial value method}, volume={101}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.467665}, DOI={10.1063/1.467665}, number={3}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Kay, Kenneth G.}, year={1994}, month=aug, pages={2250–2260} }

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