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

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

2009-01-23

arxiv.org/abs/0901.3765v1

Physics

Quantum Physics

Scientific paper

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.

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