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

P. A. Andreev

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arXiv · 1209.4196

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

P. A. Andreev

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Abstract

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.

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P. A. Andreev. 2012-09-19. Longitudinal waves in electrically polarized quantum Fermi gas: quantum hydrodynamics approximation. https://arxiv.org/abs/1209.4196

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