Finite Difference-Time Domain solution of Dirac equation and the Klein Paradox

Abstract

The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a scalar potential is studied in the arrangements associated with the Klein paradox: potential step barriers and linear potentials. No Klein paradox is observed.

References in corpus (3)

• Visualizing the kinematics of relativistic wave packets
• Three-dimensional Finite Difference-Time Domain Solution of Dirac Equation
• 1-D Dirac Equation, Klein Paradox and Graphene

Cited by in corpus (1)

• Finite Difference-Time Domain solution of the Dirac equation and the dynamics of the Aharonov-Bohm effect