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

2009/01/23 by N. Šimičević, Simicevic, Neven
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0901.3765

openalex publication_date 2009/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• 1-D Dirac Equation, Klein Paradox and Graphene
• Visualizing the kinematics of relativistic wave packets

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