Stochastic electrodynamics for the free particle

Abstract

The theory of stochastic electrodynamics is applied to the free particle and to the particle moving in a homogeneous field, leading to a complete temperature- and time-dependent description in phase space. After a transient time, the marginal description in configuration space coincides entirely with quantum mechanics, while the phase-space description is only mathematically related to the Wigner distribution. The Schrödinger equation appears as a natural—though incomplete—means of describing the statistical behavior of the electron under these conditions.