Propagation of the Weyl spinor packet through a potential barrier

Abstract

We investigate the propagation of the Weyl spinor wave packet through a rectangular potential barrier. The coefficients of the reflection and transition are calculated. It is discovered that the Hartman effect, known in nonrelativistic case, is absent. The spinor could not exceed speed of light in the quantum tunneling. This is due to the simple dispersion relation for the relativistic massless particle.