  We present in this document some essential properties of solutions to the
homogeneous Landau-Fermi-Dirac equation for moderately soft potentials. Uniform
in time estimates for statistical moments, $L^{p}$-norm generation and Sobolev
regularity are shown using a combination of techniques that include recent
developments concerning level set analysis in the spirit of De Giorgi and
refined entropy-entropy dissipation functional inequalities for the Landau
collision operator which are extended to the case in question here. As a
consequence of the analysis, we prove algebraic relaxation of non degenerate
distributions towards the Fermi-Dirac statistics under a weak non saturation
condition for the initial datum. All quantitative estimates are uniform with
respect to the quantum parameter. They therefore also hold for the classical
limit, that is the Landau equation.
