Spin electron acoustic soliton: Separate spin evolution of electrons with exchange interaction

摘要

Separate spin evolution quantum hydrodynamics is generalized to include theCoulomb exchange interaction. The Coulomb exchange interaction is considered asthe interaction between the spin-down electrons being in the quantum statesoccupied by one electron, giving main contribution in the equilibrium. Thegeneralized model is applied to study the non-linear spin-electron acousticwaves. Existence of the spin-electron acoustic soliton is demonstrated.Contributions of the concentration, spin polarization, and exchange interactionin the properties of the spin electron acoustic soliton are studied.