English

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

Quantum Gases 2012-09-20 v1 Statistical Mechanics Quantum Physics

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.

Keywords

Cite

@article{arxiv.1209.4196,
  title  = {Longitudinal waves in electrically polarized quantum Fermi gas: quantum hydrodynamics approximation},
  author = {P. A. Andreev},
  journal= {arXiv preprint arXiv:1209.4196},
  year   = {2012}
}

Comments

6 pages, 3 figures

R2 v1 2026-06-21T22:07:47.267Z