Abstract
We study the relation between the energy-level statistics of a quantal system and the integrability of its classical counterpart, derived using coherent states. Energy levels of any given distribution are reproduced 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 is opposite to what is usually seen, namely, the quantum system suppresses sensitivity on the initial conditions of its classical chaotic counterpart.
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