On the analogy between stochastic electrodynamics and nonrelativistic quantum electrodynamics

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.

References in corpus (2)

• Stochastic Electrodynamics: The Closest Classical Approximation to Quantum Theory
• Stochastic interpretation of quantum mechanics assuming that vacuum fields are real

Cited by in corpus (1)

• The quantum electromagnetic field in the Weyl-Wigner representation