Untitled

2015

We discuss complete theory of spin-1/2 electron-positron quantum plasmas, when electrons and positrons move with velocities mach smaller than the speed of light. We derive a set of two fluid quantum hydrodynamic equations consisting of the continuity, Euler, spin (magnetic moment) evolution equations for each species. We explicitly include the Coulomb, spin-spin, Darwin and annihilation interactions. The annihilation interaction is the main topic of the paper. We consider contribution of the annihilation interaction in the quantum hydrodynamic equations and in spectrum of waves in magnetized electron-positron plasmas. We consider propagation of waves parallel and perpendicular to an external magnetic field. We also consider oblique propagation of longitudinal waves. We derive set of quantum kinetic equations for electron-positron plasmas with the Darwin and annihilation interactions. We apply the kinetic theory for the linear wave behavior in absence of external fields. We calculate contribution of the Darwin and annihilation interactions in the Landau damping of the Langmuir waves. We should mention that the annihilation interaction does not change number of particles in the system. It does not related to annihilation itself, but it exists as a result of interaction of an electron-positron pair via conversion of the pair into virtual photon. A pair of the non-linear Schrodinger equations for electron-positron plasmas including the Darwin and annihilation interactions. Existence of conserving helicity in electron-positron quantum plasmas of spinning particles with the Darwin and annihilation interactions is demonstrated. We show that annihilation interaction plays an important role in quantum electron-positron plasmas giving contribution of the same magnitude as the spin-spin interaction.

“…QHD including exchange interaction were developed in Refs. [25], [64], [65]. Exchange part of the Coulomb interaction was derived in Ref.…”

Section: Maxwell Equationsmentioning

confidence: 99%

“…Force field of the exchange Coulomb and spin-spin interactions between spin-1/2 fermions was derived in Ref. [64]. More general approach for the Coulomb exchange interaction of fermions in three-and two-dimensional quantum plasmas was developed in Ref.…”

Section: Maxwell Equationsmentioning

confidence: 99%

Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas

2015

“…The quantum hydrodynamic (QHD) method [1], [2] and its generalization for the separate spin evolution (SSE) [3] are applied for the theoretical modeling of this system.…”

Section: Introductionmentioning

confidence: 99%

Extraordinary waves in two dimensional electron gas with separate spin evolution and Coulomb exchange interaction

2017

Hydrodynamics analysis of waves in two-dimensional degenerate electron gas with the account of separate spin evolution is presented. The transverse electric field is included along with the longitudinal electric field. The Coulomb exchange interaction is included in the analysis. In contrast with the three-dimensional plasma-like mediums the contribution of the transverse electric field is small. We show the decrease of frequency of both the extraordinary (Langmuir) wave and the spinelectron acoustic wave due to the exchange interaction. Moreover, spin-electron acoustic wave has negative dispersion at the relatively large spin-polarization. Corresponding dispersion dependencies are presented and analyzed.

“…The MPQHD for three dimensional spin 1/2 quantum plasmas with the Coulomb exchange and the spin-spin exchange interactions was obtained in 2001 in Ref. [2]. Theory of ultracold quantum gases of neutral atoms, including derivation and generalization of the Gross-Pitaevskii equation, was constructed in terms of the MPQHD in 2008 [3].…”

Section: Introductionmentioning

confidence: 99%

“…As wave processes, processes of information transfer, and other spin transport processes occur in 3D physical space, it becomes necessary to turn to a mathematical method of physically observable values that are determined in a 3D physical space. The fundamental equations of the microscopic quantum hydrodynamics of fermions in an external electromagnetic field had been derived using the many-particle Schrodinger equation [2], [5], [6]. Recently there has been an increased interest in the properties of quantum plasmas [7] - [12].…”

Section: Introductionmentioning

confidence: 99%

Exchange interaction effects on waves in magnetized quantum plasmas

Trukhanova

2015

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.