Numerical approach to solve the time-dependent Dirac equation
- 1 January 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 59 (1), 604-612
- https://doi.org/10.1103/physreva.59.604
Abstract
We discuss how split-operator techniques may be applied to calculate normalized wave-function solutions to the three-dimensional time-dependent Dirac equation on a space-time lattice grid. This approach can be used to investigate various field-free dynamics of electron wave packets as well as the interactions of atomic electrons with space-time varying electromagnetic radiation. We demonstrate this technique by analyzing the time-resolved Klein paradox and the Zitterbewegung.Keywords
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