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The excitation of a quantum gas of 112 independent fermions in thetime-dependent potential well, periodically oscillating around the sphericalshape, was followed over 10 oscillation cycles. Five different oscillationfrequencies are considered for each of the five types of deformations:spheroidal and Legendre polynomial ripples: P_3, P_4, P_5 and P_6. Theexcitation rate of the gas in the deforming hard-walled cavities substantiallydecreases after initial one or two cycles and the final excitation energy is afew times smaller than the wall formula predictions. Qualitatively similarresults are obtained for the diffused Woods-Saxon well. The details andpossible origins of this behaviour are discussed as well as the consequencesfor the one-body dissipation model of nuclear dynamics.Comment: REVTeX file, 13 pages, 8 postscript figures submitted to Phys. Rev.

Excitation of a quantum gas of independent particles under periodic perturbation in integrable or nonintegrable potentials