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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv
Authors: Neven Simicevic

Year

2009

Paper ID

9172

Status

Preprint

Abstract Read

~2 min

Abstract Words

46

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2009 reference point for readers tracking recent quantum research.
  • The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method.

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