International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 1, Pages 183-194

Probability in quantum mechanics

J. G. Gilson

Department of Applied Mathematics, Queen Mary College, London E1 4NS, UK

Received 12 September 1980; Revised 17 February 1981

Copyright © 1982 J. G. Gilson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By using a fluid theory which is an alternative to quantum theory but from which the latter can be deduced exactly, the long-standing problem of how quantum mechanics is related to stochastic processes is studied. It can be seen how the Schrödinger probability density has a relationship to time spent on small sections of an orbit, just as the probability density has in some classical contexts.