THE ANHARMONIC EFFECT AS ORIGINATED FROM THE ASYMMETRY OF A ROTOR - THE CASE-STUDY OF AN ASYMMETRIC ROTOR COUPLED WITH A SIMPLE HARMONIC-OSCILLATOR

The dynamics of an asymmetric rotor coupled with a simple harmonic osc illator is studied in terms of the SU(2)/U(1) x H-4/U(1) x U(1) coset space representation. The expressions related to the anharmonic effect of an asymmetric rotor are elucidated and their impact on the dynamic s analyzed. The semiclassical regular and irregular (chaotic) trajecto ries of the coupled system are demonstrated with their relationship wi th the total rotational quantum number J and the asymmetry of the roto r stressed. It is concluded that not only J but also the degree of asy mmetry affect the accuracy of the harmonic treatment.