Abstract
It is shown that the stationary states of the nonrelativistic Schrödinger's equation are just the stationary states of a classical-mechanical system which is subject to random submicroscopic fluctuations of position. The proof covers the case (1) of a single particle moving in a potential, and (2) of two particles interacting through a potential V(x1x2). The results can be easily generalized to the case of n interacting particles.