Quantum Hydrodynamics Approach to The Research of Quantum Effects and Vorticity Evolution in Spin Quantum Plasmas

Abstract

In this paper we explicate a method of magneto quantum hydrodynamics (MQHD) for the study of the quantum evolution of a system of spinning fermions in an external electromagnetic field. The fundamental equations of microscopic quantum hydrodynamics (the momentum balance equation and the magnetic moment density equation) were derived from the many-particle microscopic Schroodinger equation with $Spin-Spin and Coulomb modified Hamiltonian. Using the developed approach the extended vorticity evolution equation for the quantum spinning plasma were derived. The effects of new spin forces and spin-spin interaction contributions on the motion of fermions, evolution of the magnetic moment density and vorticity generation were predicted. The influence of the intrinsic spin of electrons in the nonlinear whistler mode turbulence was investigated. This results can be used for the theoretical studies of spinning many-particle systems, especially dense quantum plasmas in compact astrophysical objects, plasmas in semiconductors and micro-mechanical systems, in quantum x-ray free-electron lasers.

References in corpus (5)

• Dynamics of spin 1/2 quantum plasmas
• Spin magnetohydrodynamics
• Vortical Dynamics of spinning quantum plasmas - Helicity Conservation
• The role of coherent vorticity in turbulent transport in resistive drift-wave turbulence
• Evolution of a barotropic shear layer into elliptical vortices

Cited by in corpus (7)

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• Spin electron acoustic soliton: Separate spin evolution of electrons with exchange interaction
• Separated spin-up and spin-down evolution of degenerated electrons in two dimensional systems: Dispersion of longitudinal collective excitations in plane and nanotube geometry
• Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas
• Quantum hydrodynamics of spinning particles in electromagnetic and torsion fields
• Many-particle Quantum Hydrodynamics of Spin-1 Bose-Einstein Condensates
• Quantum hydrodynamics in the rotating reference frame