A hidden variables model for non-relativistic quantum mechanics in terms of probabilities of particle paths

Emilio Santos

Published 2016-03-07Version 1

Ii is proved that in non-relativistic quantum mechanics (without spin) the transition probability may be described in terms of particle paths, every path having a (positive) probability. This leads to a stochastic hidden variables theory providing an intuitive picture of particle motion. The change of velocity at every time has a probability that depends on the potential over a large region, at a difference with the local action of classical dynamics. Thus the hidden variables theory is non-local. The theory solves some of the difficulties of Bohm's.