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

TL;DR

This paper develops a magneto quantum hydrodynamics framework to analyze quantum effects and vorticity evolution in spin quantum plasmas, highlighting the influence of spin interactions on plasma dynamics.

Contribution

It introduces a new MQHD method derived from microscopic equations, extending vorticity evolution equations to include spin effects and interactions.

Findings

Spin forces and spin-spin interactions significantly affect fermion motion.

Electron spin influences nonlinear whistler mode turbulence.

The approach aids in understanding dense quantum plasmas in astrophysics and technology.

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.