Electric Field Fluctuations in the Systems of the Charged Particles with Exchange Interaction

Abstract

Key words Fluctuation phenomena in plasma, polarization and exchange interaction, Hubbard and related models. PACS 05.30.Fk, 52.25.Gj, 72.70.+m, 71.10.Fd The quantum plasma of Bose and Fermi particles is considered. A scheme of equation linearization for density matrix with the exchange interaction taken in account is proposed and the equation solution is found. An expression for Hartree-Fock dielectric permeatability with the exchange interaction is obtained. This interaction is taken into account in the exchange scattering amplitude. With the use of obtained solutions the non-equilibrium spectral function of electric field fluctuations in presence of exchange interaction and medium polarization is found. It is shown that in the state of thermodynamic equilibrium a Fluctuation-Dissipation Theorem holds. An expression for the system's response to an external electric field in presence of exchange interaction is given.