Abstract

We revisit the problem of an otherwise classical particle immersed in the zero-point radiation field, with the purpose of tracing the origin of the nonlocality characteristic of Schrödingerʼs equation. The Fokker–Planck-type equation in the particleʼs phase-space leads to an infinite hierarchy of equations in configuration space. In the radiationless limit the first two equations decouple from the rest. The first is the continuity equation; the second one, for the particle flux, contains a nonlocal term due to the momentum fluctuations impressed by the field. These equations are shown to lead to Schrödingerʼs equation. Nonlocality (obtained here for the one-particle system) appears thus as a property of the description, not of Nature.

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