High excited states of a quantum anharmonic oscillator close to the dissociation boundary in a strong field

Klimenty N. Yugay; S. A. Minabudinova

doi:10.1117/12.328279

21 October 1998 High excited states of a quantum anharmonic oscillator close to the dissociation boundary in a strong field

Klimenty N. Yugay, S. A. Minabudinova

Author Affiliations +

Proceedings Volume 3485, 11th International Vavilov Conference on Nonlinear Optics; (1998) https://doi.org/10.1117/12.328279
Event: Eleventh International Vavilov Conference on Nonlinear Optics, 1997, Novosibirsk, Russian Federation

Abstract

Results of investigations of high excited states of a quantum anharmonic oscillator in close to dissociation boundary are represented. Using the quasienergy method we are obtained an equation for the calculation of energy spectrum in the quasiclassical region. This equation is solved numerically. The main results are as follows: (1) At N less than 10⁷, where N is the quantum number, the dependence E_N on (omega) has a character of a diffusion and asymmetric peak in close to the resonance frequency. The peak is higher, if an amplitude of a field is the higher. (2) At N greater than 10⁷ the dependence E_N((omega) ) has an oscillation character and also quasicrossings of energy levels take place.

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Klimenty N. Yugay and S. A. Minabudinova "High excited states of a quantum anharmonic oscillator close to the dissociation boundary in a strong field", Proc. SPIE 3485, 11th International Vavilov Conference on Nonlinear Optics, (21 October 1998); https://doi.org/10.1117/12.328279

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