The anharmonic effect as originated from the asymmetry of a rotor. The case study of an asymmetric rotor coupled with a simple harmonic oscillator Original Research Article

The dynamics of an asymmetric rotor coupled with a simple harmonic oscillator is studied in terms of the SU(2)/U(1) ⊗ H4/U(1) ⊗ U(1) coset space representation. The expressions related to the anharmonic effect of an asymmetric rotor are elucidated and their impact on the dynamics analyzed. The semiclassical regular and irregular (chaotic) trajectories of the coupled system are demonstrated with their relationship with the total rotational quantum number J and the asymmetry of the rotor stressed. It is concluded that not only J but also the degree of asymmetry affect the accuracy of the harmonic treatment.