Journal of Mathematical Physics

Probability manifolds

Stanley Gudder

Published Aug 1, 1984• 33 citations

Abstract

The concept of a probability manifold M is introduced. The global properties of M inherited from its local structure are then considered. It is shown that a deterministic spin model due to Pitowski falls within this general framework. Finally, we construct a phase-space model for nonrelativistic quantum mechanics. These two models give the same global description as conventional quantum mechanics. However, they also give a local description which is not possible in conventional quantum mechanics.

DOI: 10.1063/1.526461

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