# 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} }

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

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