On the analogy between stochastic electrodynamics and nonrelativistic quantum electrodynamics

• URL: http://arxiv.org/abs/2212.03077v1
• Date: Sat, 3 Dec 2022 19:29:14 GMT
• Title: On the analogy between stochastic electrodynamics and nonrelativistic quantum electrodynamics
• Authors: Emilio Santos
• Abstract summary: I prove that an approximation to first order in Planck constant has formal analogy with electrodynamics (SED) The analogy elucidates why SED agrees with quantum theory for particle Hamiltonians in coordinates and momenta, but fails otherwise.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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