  The method of many-particle quantum hydrodynamics has been recently
developed, particularly this method has been used for an electrically polarized
Bose-Einstein condensate. In this paper, we present the development of this
method for an electrically polarized three dimensional Fermi gas. We derive
corresponding dynamical equations: equation polarization and equation of
polarization current evolution as well as the Euler and continuity equations.
We study dispersion dependencies of collective excitations in a polarized Fermi
gas and consider interference of an equilibrium polarization on dispersion
properties.
