EXCITATION OF A QUANTUM GAS OF INDEPENDENT PARTICLES UNDER PERIODIC PERTURBATION IN INTEGRABLE OR NONINTEGRABLE POTENTIALS

The excitation of a quantum gas of 112, independent fermions in the ti me-dependent potential well, periodically oscillating around the spher ical shape, was followed over ten oscillation cycles. Five different o scillation frequencies are considered for each of the five types of de formations: spheroidal and Legendre polynomial ripples P-3, P-4, P-5, and P-6. The excitation rate of the gas in the deforming hard-walled c avities substantially decreases after initial one or two cycles and th e final excitation energy is a few times smaller than the wall formula predictions. Qualitatively similar results are obtained for the diffu sed Woods-Saxon well. The details and possible origins of this behavio r are discussed as well as the consequences for the one-body dissipati on model of nuclear dynamics.