Exchange effects in magnetized quantum plasmas

Abstract

We apply the many-particle quantum hydrodynamics including the Coulomb exchange interaction to magnetized quantum plasmas. We consider a number of wave phenomenon under influence of the Coulomb exchange interaction. Since the Coulomb exchange interaction affects longitudinal and transverse-longitudinal waves we focus our attention to the Langmuir waves, Trivelpiece-Gould waves, ion-acoustic waves in non-isothermal magnetized plasmas, the dispersion of the longitudinal low-frequency ion-acoustic waves and low-frequencies electromagnetic waves at $T_e\gg T_i$ . We obtained the numerical simulation of the dispersion properties of different types of waves.

9 pages, 11 figures

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• Exchange effects in a cold plasma
• Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas
• Exchange Coulomb interaction in nanotubes: Dispersion of Langmuir waves
• Surface plasmon oscillations in a semi-bounded semiconductor plasma
• Quantum kinetic theory of light-matter interactions in degenerate plasmas
• The geometro-hydrodynamical formalism of quantum spinning particle
• A Formulation of Quantum Fluid Mechanics and Trajectories