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We present predictions for the temperature dependent shifts and dampingrates. They are obtained by applying the dielectric formalism to a simple modelof a trapped Bose gas. Within the framework of the model we use lowest orderperturbation theory to determine the first order correction to the results ofHartree-Fock-Bogoliubov-Popov theory for the complex collective excitationfrequencies, and present numerical results for the temperature dependence ofthe damping rates and the frequency shifts. Good agreement with theexperimental values measured at JILA are found for the m=2 mode, while we finddisagreements in the shifts for m=0. The latter point to the necessity of anon-perturbative treatment for an explanation of the temperature-dependence ofthe m=0 shifts.Comment: 10 pages revtex, 3 figures in postscrip

Shifts and widths of collective excitations in trapped Bose gases determined by the dielectric formalism