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

Longitudinal waves in electrically polarized quantum Fermi gas: quantum hydrodynamics approximation