Ehrenfest theorem in relativistic quantum theory

@article{BialynickiBirula2022EhrenfestTI,
  title={Ehrenfest theorem in relativistic quantum theory},
  author={Iwo Bialynicki-Birula and Zofia Białynicka-Birula},
  journal={Journal of Physics B: Atomic, Molecular and Optical Physics},
  year={2022},
  volume={55}
}
Ehrenfest theorem is extended to the relativistic quantum theory of charged particles, moving under the influence of a classical electromagnetic field. In order to extend the original Ehrenfest result to the relativistic domain we bypassed the problems with the relativistic position operator by deriving directly Newton’s second law. Our approach is characterized by its universality. The detailed form of the wave equation is not needed. All that is required is the existence of the conserved… 

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