Correspondence between Propagating Characters of Coherent States and Energy Spectral Statistics in Chaotic Quantum Systems

The quantum mechanical behavior of classically chaotic systems,usually referred to as quantum chaos,is of interest,since the classical limit is still poorly understood for soft chaos^([1,2]).Here the spatio-temporal evolution of axially symmetric harmonic oscillator coherent states under the action of perturbed Harniltonian with octupole deformation is studied for a classically soft chaotic systems.The initial coherent