function of the anisotropy of the trap. As in earlier works, the generalized Hartree-Fock-
Bogoliubov equations within the Popov approximation are used for our calculations. A
feature of our work is the combined use of a mode expansion in a finite basis and a
semiclassical approximation of the highly excited states. The results are applied to check the
accuracy of the recently suggested equivalent zero temperature condensate approximation …