Non-Hermite Spinor Boltzmann Equation and Its Hermitization

It is known that the Wigner distribution function in quantum Boltzmann equation not positive elsewhere, which causes trouble for its application to mesoscopic transport problem. Similarly, if we extend spinor equation, includes spin freedom usual distribution, and matrix therein Hermite, must make this non-Hermite Hermitization. So paper, propose a with Hermite then obtain equations of continuity satisfied by charge density, current, accumulation, current. The numerical results these physical quantities are illustrated an example spin-polarized scattered impurities system spintronics. Their differences compared shown.