Energy evolution in many-particle quantum hydrodynamics of spinning plasmas

Abstract

In this paper, we develop a quantum hydrodynamics (QHD) method for the research of the quantum evolution of a system of spinning particles. We derived the fundamental equation for charged and neutral spinning particles — the energy evolution equation from the many-particle microscopic Schrödinger equation with a spin–spin and Coulomb modified Hamiltonian. We derive the spin contributions to the energy evolution equation, thermal energy and thermal energy current.