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arXiv · 0901.3765

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

Neven Simicevic
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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.

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Neven Simicevic. 2009-01-23. Finite Difference-Time Domain solution of Dirac equation and the Klein Paradox. https://arxiv.org/abs/0901.3765

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