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Closed Foldy-Wouthuysen transformations for fermions moving in gauge-invariant time-dependent electromagnetic fields

High Energy Physics - Theory 2025-09-03 v1

Abstract

Previously, we obtained closed expressions for energy operators in the Foldy-Wouthuysen representation in the presence of static electric fields. In this case, we also established a connection between the Foldy-Wouthuysen representation and the Feynman-Gell-Mann representation. In this work, we generalize these results for the case of fermions moving in time-dependent gauge-invariant electromagnetic fields.

Keywords

Cite

@article{arxiv.2509.00021,
  title  = {Closed Foldy-Wouthuysen transformations for fermions moving in gauge-invariant time-dependent electromagnetic fields},
  author = {V. P. Neznamov},
  journal= {arXiv preprint arXiv:2509.00021},
  year   = {2025}
}

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6 pages