Ion-surface scattering in the time-dependent mean-field approximation

The exchange of electrons between a jellium surface and an energetic ion is illustrated via time-dependent mean-field theory. We use a one-dimensional Gaussian model potential to simulate the ion's effect upon the surface in this initial study. The results of our numerical simulation show the effects of energy resonances, finite and velocity-dependent resonance widths, and charge transfer from the jellium to the reflected ion. The self-consistent reaction of the surface and bulk electrons to the ion scattering is easily seen in time-dependent density profiles.