DOI: 10.1063/1.449033. Quantum and semiclassical description of a triply degenerate anharmonic oscillator

Quantum and semiclassical description of a triply degenerate anharmonic oscillator

10.1063/1.449033

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Quantum and semiclassical energies are compared as a function of anharmonicity using the Hecht Hamiltonian for the triply degenerate anharmonic oscillator for octahedral and tetrahedral molecules. Semiclassical energies are found by turning on the potential adiabatically and the corresponding classical trajectories are described in terms of an adiabatic vibrational energy (VE) surface. Accurate semiclassical energies are obtained for chaotic trajectories near the separatrix of the VE surface. The quantum wave functions corresponding to the semiclassical trajectories after the onset of chaos are used to disprove a recently proposed quantum analog to classical quasiperiodic motion.

Bibliography

Patterson, C. W. (1985). Quantum and semiclassical description of a triply degenerate anharmonic oscillator. The Journal of Chemical Physics, 83(9), 4618â4632.

Authors 1

Chris W. Patterson (first)

References 35 Referenced 49

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Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9:08 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 10:55 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 6:47 a.m.)
Issued	39 years, 9 months ago (Nov. 1, 1985)
Published	39 years, 9 months ago (Nov. 1, 1985)
Published Print	39 years, 9 months ago (Nov. 1, 1985)

Funders 0

None

BibTeX

@article{Patterson_1985, title={Quantum and semiclassical description of a triply degenerate anharmonic oscillator}, volume={83}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.449033}, DOI={10.1063/1.449033}, number={9}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Patterson, Chris W.}, year={1985}, month=nov, pages={4618–4632} }

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