Waves of Magnetic Moment and Generation of Waves by Neutron Beam in Quantum Magnetized Plasma

Andreev, Pavel A.; Kuz'menkov, L. S.

doi:10.1142/s021797921250186x

Cited by 37 publications

(120 citation statements)

References 28 publications

Supporting

Mentioning

117

Contrasting

Order By: Relevance

“…However there are more semi-relativistic effects. They are the spin-current [3] and the current-current [9], [60], [61] interactions, mentioned above, the relativistic correction to kinetic energy (RCKE) [9], [60], [61], and the spin-orbit interaction as well [38], [32]. All these interactions are parts of the Breit Hamiltonian (see [11] section 83).…”

Section: Darwin Interaction Contributionmentioning

confidence: 99%

“…[31], [38] (see formulas 2 and 3, for electrons and ions correspondingly), [32] (see formulas 10 and 11).…”

Section: Fig 10: (Color Online)mentioning

confidence: 99%

“…Next integrating the spin distribution function over the momentum we get the spin density appearing in the quantum hydrodynamic equations [8], [26], [32] S α a (r, t) = S α a (r, p, t)dp.…”

Section: Further Generalization Of Quantum Hydrodynamics Of Electmentioning

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

View full text Add to dashboard Cite

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.

show abstract

Section: Darwin Interaction Contributionmentioning

confidence: 99%

“…[31], [38] (see formulas 2 and 3, for electrons and ions correspondingly), [32] (see formulas 10 and 11).…”

Section: Fig 10: (Color Online)mentioning

confidence: 99%

See 1 more Smart Citation

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

View full text Add to dashboard Cite

show abstract

“…The green mode shows the dispersion characteristic of quantum ion-acoustic waves which are described by equation (14), the red mode shows the dispersion characteristic of classic ionacoustic waves which occur from (14) if the term proportional toh 2 is neglected. The blue mode shows the dispersion characteristic of the short wavelength wave where the Coulomb exchange interactions are dominate.…”

Section: Figmentioning

confidence: 99%

“…Dispersion relations for linear waves in amedium formed by electrons and ions and traversed by a beam of neutrons whose velocity has a nonzero constant component had been derived by methods of quantum hydrodynamics in [13]. The dispersion of waves, existed in the plasma in consequence of dynamic of the magnetic moments had been investigated in [14], [15]. The instabilities at propagation of the neutron * Electronic address: mar-tiv@yandex.ru † Electronic address: andreevpa@physics.msu.ru beam through the plasma had been showed.…”

Section: Introductionmentioning

confidence: 99%

Exchange interaction effects on waves in magnetized quantum plasmas

Trukhanova

Andreev

2015

Physics of Plasmas

View full text Add to dashboard Cite

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.

show abstract

The Connection between Bohmian Mechanics and Many-Particle Quantum Hydrodynamics

Renziehausen

Barth

2020

Found Phys

View full text Add to dashboard Cite

Bohm developed the Bohmian mechanics (BM), in which the Schrödinger equation is transformed into two differential equations: a continuity equation and an equation of motion similar to the Newtonian equation of motion. This transformation can be executed both for single-particle systems and for many-particle systems. Later, Kuzmenkov and Maksimov used basic quantum mechanics for the derivation of manyparticle quantum hydrodynamics (MPQHD) including one differential equation for the mass balance and two differential equations for the momentum balance, and we extended their analysis in a prework (K. Renziehausen, I. Barth in Prog. Theor. Exp. Phys. 2018:013A05, 2018) for the case that the particle ensemble consists of different particle sorts. The purpose of this paper is to show how the differential equations of MPQHD can be derived for such a particle ensemble with the differential equations of BM as a starting point. Moreover, our discussion clarifies that the differential equations of MPQHD are more suitable for an analysis of many-particle systems than the differential equations of BM because the differential equations of MPQHD depend on a single position vector only while the differential equations of BM depend on the complete set of all particle coordinates.

show abstract

Waves of Magnetic Moment and Generation of Waves by Neutron Beam in Quantum Magnetized Plasma

Cited by 37 publications

References 28 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

The Connection between Bohmian Mechanics and Many-Particle Quantum Hydrodynamics

Contact Info

Product

Resources

About