Abstract
We examine the hypothesis that every particle of mass is subject to a Brownian motion with diffusion coefficient and no friction. The influence of an external field is expressed by means of Newton's law , as in the Ornstein-Uhlenbeck theory of macroscopic Brownian motion with friction. The hypothesis leads in a natural way to the Schrödinger equation, but the physical interpretation is entirely classical. Particles have continuous trajectories and the wave function is not a complete description of the state. Despite this opposition to quantum mechanics, an examination of the measurement process suggests that, within a limited framework, the two theories are equivalent.
- Received 21 April 1966
DOI:https://doi.org/10.1103/PhysRev.150.1079
©1966 American Physical Society