A fourth-order compact time-splitting method for the Dirac equation with time-dependent potentials

@article{Yin2021AFC,
  title={A fourth-order compact time-splitting method for the Dirac equation with time-dependent potentials},
  author={Jia Yin},
  journal={ArXiv},
  year={2021},
  volume={abs/2106.09184}
}
  • Jia Yin
  • Published 2021
  • Computer Science, Mathematics
  • ArXiv
In this paper, we present an approach to deal with the dynamics of the Dirac equation with time-dependent electromagnetic potentials using the fourth-order compact time-splitting method (S 4c). To this purpose, the time-ordering technique for time-dependent Hamiltonians is introduced, so that the influence of the time-dependence could be limited to certain steps which are easy to treat. Actually, in the case of the Dirac equation, it turns out that only those steps involving potentials need to… Expand
1 Citations
Error estimates of finite difference methods for the Dirac equation in the massless and nonrelativistic regime
  • Ying Ma, Jia Yin
  • Mathematics, Computer Science
  • ArXiv
  • 2021
We present four frequently used finite difference methods and establish the error bounds for the discretization of the Dirac equation in the massless and nonrelativistic regime, involving a smallExpand

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