Exchange interaction effects on waves 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 Te Ti . We obtained the numerical simulation of the dispersion properties of different types of waves.

Many-particle quantum hydrodynamics: Exact equations and pressure tensors

“…(41), (85)), which could be derived by summing up all the corresponding equations for the particular sorts of particles (see Eqns. (40), (62)). This context is related to the point that both the MPCE and the MPEEM for a particular sort of particles and the corresponding equations for the total particle ensemble are linear differential equations for which the superposition principle is true, which says that linear combinations of their solutions form new solutions of these equations.…”

“…Taking all these changes into account for the different quantities discussed above, we eventually find that both for a certain sort of particles A and the total particle ensemble the corresponding MPCEs, MPEEMs, and the MPQCEs, given in Eqns. (40), (41), (62), (85), (90), and (100), remain valid explicitly for the presence of external fields. For all the following considerations we assume that no external fields are present.…”

The Connection between Bohmian Mechanics and Many-Particle Quantum Hydrodynamics

“…Furthermore, Kuzmenkov and his coworkers developed MPQHD further to analyze spin effects [14,15] and Bose-Einstein-Condensates [16]. In addition, applications of MPQHD were discussed for electrons in graphene [17] and plasma effects [18][19][20][21][22][23]. Hereby, in [20], it is shortly mentioned how to apply MPQHD for systems where several sorts of particle are present, and in [20][21][22][23], the equations for MPQHD were discussed for the special case of two particle sorts in a plasma.…”

“…In addition, applications of MPQHD were discussed for electrons in graphene [17] and plasma effects [18][19][20][21][22][23]. Hereby, in [20], it is shortly mentioned how to apply MPQHD for systems where several sorts of particle are present, and in [20][21][22][23], the equations for MPQHD were discussed for the special case of two particle sorts in a plasma. Hereby, in [20][21][22], the MPQHD for electrons and a single ion sort were discussed, and in [23], these two sorts are electrons and positrons.…”

“…Hereby, in [20], it is shortly mentioned how to apply MPQHD for systems where several sorts of particle are present, and in [20][21][22][23], the equations for MPQHD were discussed for the special case of two particle sorts in a plasma. Hereby, in [20][21][22], the MPQHD for electrons and a single ion sort were discussed, and in [23], these two sorts are electrons and positrons. Moreover, in [9], we developed the methods described in [8,20] further by deriving rigorously the MPQHD equations for the general case that the particle ensemble includes several sorts of particle.…”