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 (4)

• Stochastic Electrodynamics: The Closest Classical Approximation to Quantum Theory
• Local realistic interpretation of entangled photon pairs in the Weyl-Wigner formalism
• Stochastic interpretation of quantum mechanics assuming that vacuum fields are real
• Local model of entangled photon experiments compatible with quantum predictions based on the reality of the vacuum fields

Cited by in corpus (4)

• The quantum electromagnetic field in the Weyl-Wigner representation
• The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model
• Cellular automaton ontology, bits, qubits, and the Dirac equation
• Quantum field theory in the Weyl-Wigner representation