  Bogolyubov-De Gennes equations for the excitations of a Bose condensate in
the Thomas-Fermi regime in harmonic traps of any asymmetry and introduce a
classification of eigenstates. In the case of cylindrical symmetry we emphasize
the presence of an accidental degeneracy in the excitation spectrum at certain
values of the projection of orbital angular momentum on the symmetry axis and
discuss possible consequences of the degeneracy in the context of new
signatures of Bose-Einstein condensation.
