  We show that the quantum many-body state of Bose-Einstein condensates (BEC)
consistent with the time-dependent Hartree-Fock-Bogoliubov (TDHFB) equations is
a generalized coherent state (GCS). At zero temerature, the non-condensate
density and the anomalous non-condensate correlation are not independent,
allowing us to elimiate one of the three variables in the TDHFB.
