Quantum kinetics derivation as generalization of the quantum hydrodynamics method
Abstract
We present a new way of quantum kinetic equation derivation. This method appears as a natural generalization of the manyparticle quantum hydrodynamic method. Kinetic equations are derived for different system of particles. First of all we consider quantum plasma and pay special attention to the spin evolution. We show that we need a set of two kinetic equations for description of spinning particles. One of these equations is the equation for distribution function, however this equation contains new function, even in the selfconsistent field approximation. This is a spindistribution function introduced in the paper. Therefore we have to derive kinetic equation for spin distribution function evolution, which is presented here and used to construct a closed set of kinetic equations. We also present kinetic equation for system of neutral particles with a shortrange interaction in the first order by the interaction radius approximation. We derive a set of kinetic equations for particles having electric dipole moment, this set analogous to the equations set for spinning particles, but it has some differences. As a special topic we find kinetic equations for graphene carriers in the vicinity of the Dirac points. Derived equations, in general case, contain twoparticle distribution functions, which take into account contribution of the quantum correlations including the exchange interaction, but we restrict ourself by the selfconsistent field approximation to obtain closed kinetic description, in the system of particles with the shortrange interaction.
 Publication:

arXiv eprints
 Pub Date:
 December 2012
 arXiv:
 arXiv:1212.0099
 Bibcode:
 2012arXiv1212.0099A
 Keywords:

 Physics  Plasma Physics;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Quantum Gases;
 Condensed Matter  Statistical Mechanics;
 Quantum Physics
 EPrint:
 30 pages