О Функциях Распределения В Квантовой Механике И Функциях Вигнера

Kuz'menkov, L. S.; Maksimov, S. G.; Maksimov, Sergey Gennad'evich

doi:10.4213/tmf327

Cited by 12 publications

(1 citation statement)

References 4 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Дело в том, что исходя из правила соответствия между классической и квантовой механикой при определении поперечной ДП бесстолкновительной плазмы до настоящего времени часто используется следующий гамильтониан (см., например, [7]- [9]):…”

unclassified

Quantum effects in the transverse dielectric permittivity of a Maxwellian plasma

Бобров¹,

Triger²

2017

TMF

View full text Add to dashboard Cite

Получено явное аналитическое выражение для поперечной диэлектрической проницаемости максвелловской плазмы, учитывающее квантовые эффекты, обусловленные как пространственной и частотной дисперсией, так и наличием собственного магнитного момента у частиц плазмы. Ключевые слова: максвелловская плазма, поперечная диэлектрическая проницаемость, квантовые эффекты.

show abstract

unclassified

Quantum effects in the transverse dielectric permittivity of a Maxwellian plasma

Бобров¹,

Triger²

2017

TMF

View full text Add to dashboard Cite

show abstract

Quantum kinetics of spinning neutral particles: General theory and Spin wave dispersion

Andreev

2015

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

Plasma physics give an example of physical system of particles with the long range interaction. At small velocity of particles we can consider the plasma approximately as a system of particles with the Coulomb interaction. The Coulomb interaction is isotropic. Systems of spinning neutral particles have long-range anisotropic interparticle interaction. So, they can reveal more reach properties than plasma. Furthermore for studying of systems of spinning particles we can develop kinetic and hydrodynamic methods analogous to used for the plasma. We derive kinetic equations by a new method, which is the generalization of the many-particle quantum hydrodynamics. Obtained set of kinetic equations is truncated, so we have closed set of two equations. One of them is the kinetic equation for quantum distribution function. The second equation is the equation for the spin-distribution. Which describes the spin kinetic evolution and gives contribution in time evolution of the distribution function. Our method allows to obtain equations as for three dimensional system of particles and for low dimensional systems. So, we consider spin waves in three-and two dimensional systems of neutral spinning particles.

show abstract

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

О Функциях Распределения В Квантовой Механике И Функциях Вигнера

Cited by 12 publications

References 4 publications

Quantum effects in the transverse dielectric permittivity of a Maxwellian plasma

Quantum effects in the transverse dielectric permittivity of a Maxwellian plasma

Quantum kinetics of spinning neutral particles: General theory and Spin wave dispersion

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

Contact Info

Product

Resources

About