English

On the analogy between stochastic electrodynamics and nonrelativistic quantum electrodynamics

Quantum Physics 2022-12-07 v1

Abstract

I expose nonrelativistic quantum electrodynamics in the Weyl-Wigner representation. Hence I prove that an approximation to first order in Planck constant has formal analogy with stochastic electrodynamics (SED), that is classical electrodynamics of charged particles immersed in a random radiation filling space. The analogy elucidates why SED agrees with quantum theory for particle Hamiltonians quadratic in coordinates and momenta, but fails otherwise.

Keywords

Cite

@article{arxiv.2212.03077,
  title  = {On the analogy between stochastic electrodynamics and nonrelativistic quantum electrodynamics},
  author = {Emilio Santos},
  journal= {arXiv preprint arXiv:2212.03077},
  year   = {2022}
}
R2 v1 2026-06-28T07:23:45.677Z