Coupled Q-oscillators as a model for vibrations of polyatomic molecules

Details Coupled Q-oscillators as a model for vibrations of polyatomic molecules Coupled Q-oscillators as a model for vibrations of polyatomic molecules

1997-01-21

arxiv.org/abs/quant-ph/9701025v1

Physics

Quantum Physics

13 pages, LaTeX

Scientific paper

10.1063/1.473189

The system of two $Q$-deformed oscillators coupled so that the total Hamiltonian has the su$_Q$(2) symmetry is proved to be equivalent, to lowest order approximation, to a system of two identical Morse oscillators coupled by the cross-anharmonicity usually used empirically in describing vibrational spectra of triatomic molecules. The symmetry also imposes a connection between the self-anharmonicity of the Morse oscillators and the cross-anharmonicity strength, which can be removed by replacing the $Q$-oscillators by deformed anharmonic oscillators. The generalization to $n$ oscillators is straightforward. The applicability of the formalism to highly symmetric polyatomic molecules is discussed.

Affiliated with

Also associated with

No associations

Rating

Coupled Q-oscillators as a model for vibrations of polyatomic molecules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coupled Q-oscillators as a model for vibrations of polyatomic molecules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coupled Q-oscillators as a model for vibrations of polyatomic molecules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125598