Study of the Double Nonlinear Quantum Resonances in Diatomic Molecules

G. V. López, J. G. T. Zanudo

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DOI: 10.4236/jmp.2011.26057                

Abstract

We study the quantum dynamics of diatomic molecule driven by a circularly polarized resonant electric field. We look for a quantum effect due to classical chaos appearing due to the overlapping of nonlinear reso-nances associated to the vibrational and rotational motion. We solve the Schrödinger equation associated with the wave function expanded in term of proper stationary states, |n> |lm> (vibrational angular momentum states). Looking for quantum-classic correspondence, we consider the Liouville dynamics in the two dimensional phase space defined by the coherent-like state of vibrational states. We consider the rela-tionship between the overlapping of the classical resonances and the mixing of the quantum states, and it is found some similarities when the quantum dynamics is pictured in terms of number and phase operators.

Keywords

Nonlinear Resonance, Diatomic Molecule, Quantum Resonances

Conflicts of Interest

The authors declare no conflicts of interest.

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