SUPPRESSION OF ENERGY FLUCTUATIONS IN THE CLASSICAL COUNTERPART OF QUANTUM MODELS

We study the relation between the energy-level statistics of a quantal system and the integrability of its classical counterpart, derived us ing coherent states. Energy levels of any given distribution are repro duced using models based either on the harmonic oscillator or on an su (2) algebraic model. The energy-level fluctuations seen in the quantum models are greatly suppressed in their classical counterparts. This i s opposite to what is usually seen, namely, the quantum system suppres ses sensitivity on the initial conditions of its classical chaotic cou nterpart.