Shifts of electron beam position due to total reflection at a barrier

Just as light beams can undergo position shifts when totally internally reflected, it is found that analogous shifts of an electron beam can occur upon total reflection at a potential barrier. A given shift corresponds to a spin polarization normal to the shift, and thus an initially unpolarized beam will be separated into two polarized beams. These shifts are comparable to the electron Compton wavelength times the number of multiple reflections.