A systematic comparison is carried out between quantal and classical c
omputer simulations of the excitation of independent particles in a ti
me-dependent potential well undergoing one cycle of oscillation. Eleve
n values of the diffuseness, up to 25 values of the oscillation freque
ncy, and five Legendre polynomial deformations P-2, P-3, P-4, P-5, P-6
were examined. Oscillations around the spherical shape as well as aro
und a P-3 deformed shape were considered. The results are compared wit
h the one-body dissipation theory in the form of the wall formula, inc
luding corrections for the heating up of the gas, the diffuseness of t
he surface, the wave-mechanical suppression of dissipation and the red
uction in the effective volume available to a quantal gas in a contain
er whose diffuseness is small compared to the particle wavelengths. (C
) 1997 Published by Elsevier Science B.V.