Motion of a wave packet in the Klein paradox

摘要

Computer simulations for the scattering of a relativistic wave packet by a step potential are performed. Under the condition of the Klein paradox, where the height of the potential barrier becomes supercritical, the scattering induces the creation of electron-positron pairs. The "pair creation" is demonstrated in the present simulation by making use of the hole theory. (C) 1999 American Association of Physics Teachers. [References: 6]