ИСТИНА

In the present paper we model the electromagnetic process in a plasma placed in an external magnetic ¯eld. This plasma is an anisotropic medium with strongly expressed electromagnetic properties. For the modeling of the electromagnetic quantum properties, we use the Schrodinger equation. Based on a Hamiltonian of a charged particle system with an intrinsic magnetic moment in an external electromagnetic ¯eld quantum, hydrodynamic equa- tions are derived. The Coulomb, spin-spin, spin-current and spin-orbit in the Hamiltonian are included. The equations for number of particles, momentum and magnetic moment are obtained. The self-consistent ¯eld approximations of these equations are considered. Based on the quan- tum hydrodynamic equations the process of generation of waves by a neutron beam in a dense quantum plasma of nonzero spin is considered. Existence of new wave solutions of the quantum hydrodynamic equations is shown (with respect to our previous works as described in [1, 2]). One type of such waves propagates perpendicularly to the direction of the external magnetic ¯eld. Another type is the spin waves which propagate at arbitrary angle with respect to the direc- tion of the external magnetic ¯eld. Dispersion relations for waves in a medium traversed by a beam of neutrons whose velocity has a nonzero constant component are derived. Extreme cases of waves propagation parallel or transverse to the direction of the external magnetic ¯eld are considered. Generation of plasma, electromagnetic and self-consistent spin waves is investigated. The analytic formulas for the increments of instability are obtained. The contributions of spin- orbit interaction in the process of generation waves are investigated. The spin-spin, spin-current and spin-orbit interactions are the physical mechanism of instabilities in two-component quan- tum plasma traversed by a beam of neutrons. The collective dynamic of the magnetic moment of particles and methods of generation of this process can in°uence the properties of spintronic devices.