Three-dimensional Finite Difference-Time Domain Solution of Dirac Equation
Neven Simicevic
TL;DR
This paper presents a 3D FDTD numerical method for solving the Dirac equation, demonstrating its application through phenomena like Zitterbewegung and electron dynamics.
Contribution
It introduces a novel 3D FDTD approach specifically designed for the Dirac equation, expanding computational tools for relativistic quantum mechanics.
Findings
Successful simulation of Zitterbewegung using the FDTD method
Demonstration of electron dynamics in free space
Validation of the method's accuracy and stability
Abstract
The Dirac equation is solved using three-dimensional Finite Difference-Time Domain (FDTD) method. and the dynamics of a well-localized electron are used as examples of FDTD application to the case of free electrons.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Spectral Theory in Mathematical Physics · Quantum and Classical Electrodynamics