Oscillation of the Spin Polarization in the Time-Dependent Newns-Anderson Model

Abstract

The oscillatory approach in time to the equilibrium value of the spin polarization of moving atoms near metal surfaces is analyzed in detail, which appears in the Hartree-Fock approximation for the time-dependent Newns-Anderson model. The approximate asymptotic solution is obtained for the long time behavior of the spin polarization and also the detailed analytic property of the exact solution for long time is discussed.