  In this document we discuss the long time behaviour for the homogeneous
Landau-Fermi-Dirac equation in the hard potential case. Uniform in time
estimates for statistical moments and Sobolev regularity are presented and used
to prove exponential relaxation of non degenerate distributions to the
Fermi-Dirac statistics. All these results are valid for rather general initial
datum. An important feature of the estimates is the independence with respect
to the quantum parameter. Consequently, in the classical limit the same
estimates are recovered for the Landau equation.
