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Kuz'menkov, L. S.; Maksimov, S. G.; Федосеев, Владислав Владимирович

doi:10.1023/a:1009467617178

Cited by 17 publications

(35 citation statements)

References 5 publications

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“…To describe system of electrons and positrons we present the Hamiltonian for the many-particle Schrodinger equation (1). Explicit form of the Hamiltonian allows to derive a set of quantum hydrodynamic (QHD) equations.…”

Section: Background Of the Modelmentioning

confidence: 99%

“…These two function are defined via the same manyparticle wave function ψ(R, t), which describes behavior of all particles in the system and obeys the Schrodinger equation (1).…”

Section: Background Of the Modelmentioning

confidence: 99%

“…Method of description of quantum plasmas was developed in 1999-2001 in Refs. [1], [2], [25]. This method arises as a representation of the many-particle Schrodinger equation with the charge-charge Coulomb and spin-spin interactions in terms of collective variables.…”

Section: Introductionmentioning

confidence: 99%

“…Since then various wave phenomenon have been studied for spin-1/2 quantum plasmas [4], [5], [7], [8], [28]- [37]. Presence of spin induces the spin-spin interaction via the magnetic field created by magnetic moments [2].…”

Section: Introductionmentioning

confidence: 99%

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

Andreev

2015

Physics of Plasmas

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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.

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Section: Background Of the Modelmentioning

confidence: 99%

“…These two function are defined via the same manyparticle wave function ψ(R, t), which describes behavior of all particles in the system and obeys the Schrodinger equation (1).…”

Section: Background Of the Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Andreev

2015

Physics of Plasmas

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“…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

Andreev

2015

Physics of Plasmas

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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.

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Quantum Hydrodynamics for Plasmas – a Thomas‐Fermi Theory Perspective

Michta

Graziani

Bönitz

2015

Contrib. Plasma Phys.

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The idea to describe quantum systems within a hydrodynamic framework (quantum hydrodynamics, QHD) goes back to Madelung and Bohm. While such a description is formally exact for a single particle, more recently the concept has been applied to many-particle systems by Manfredi and Haas [Phys. Rev. B 64, 075316 (2001)] and received high popularity in parts of the quantum plasma community. Thereby, often the applicability limits of these equations are ignored, giving rise to unphysical predictions. Here we demonstrate that modified QHD equations for plasmas can be derived from Thomas-Fermi theory including gradient corrections. This puts QHD on firm grounds. At the same time this derivation yields a different prefactor, γ = (D − 2/3D), in front of the quantum (Bohm) potential which depends on the system dimensionality D. Our approach allows one to identify the limitations of QHD and to outline systematic improvements.

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Cited by 17 publications

References 5 publications

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

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

Exchange interaction effects on waves in magnetized quantum plasmas

Quantum Hydrodynamics for Plasmas – a Thomas‐Fermi Theory Perspective

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