Quantum kinetics of spinning neutral particles: General theory and Spin wave dispersion
arXiv:1308.3715 · doi:10.1016/j.physa.2015.03.019
Abstract
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.
15 pages
References in corpus (12)
- Dynamics of spin 1/2 quantum plasmas
- Quantum plasma effects in the classical regime
- Neutrino Quantum Kinetics
- Plasma Physics of Extreme Astrophysical Environments
- Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D mediums
- Twisted-light-induced optical transitions in semiconductors: Free-carrier quantum kinetics
- Semiclassical Vlasov and fluid models for an electron gas with spin effects
- Collective excitations of quasi-two-dimensional trapped dipolar fermions: transition from collisionless to hydrodynamic regime
- Vlasov equation and -body dynamics - How central is particle dynamics to our understanding of plasmas?
- Wave dispersion derived from the square-root Klein-Gordon-Poisson system
- Balance equations in semi-relativistic quantum hydrodynamics
- Quantum corrections to nonlinear ion acoustic wave with Landau damping
Cited by in corpus (11)
- Spin electron acoustic soliton: Separate spin evolution of electrons with exchange interaction
- Spin-electron acoustic waves: The Landau damping and ion contribution in the spectrum
- Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas
- Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma, Part I: Dielectric permeability tensor for magnetized plasmas
- Prospects for Neutrino Spin Coherence in Supernovae
- Relativistic kinetic theory for spin-1/2 particles: Conservation laws, thermodynamics, and linear waves
- An optimization-based approach to calculating neutrino flavor evolution
- Exchange Coulomb interaction in nanotubes: Dispersion of Langmuir waves
- Spin current evolution in the separated spin-up and spin-down quantum hydrodynamics
- Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma, Part II: Dispersion dependencies
- Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions