We show how to obtain a complete correspondence between stochastic and quantum mechanics on multiply connected spaces. We do this by introducing a stochastic mechanical analog of the hydrodynamical circulation, relating it to the topological properties of the configuration space, and using it to constrain the stochastic mechanical variational principles.
Carlen, E.A., Loffredo, M.I. (1989). The correspondence between stochastic mechanics and quantum mechanics on multiply connected configuration spaces. PHYSICS LETTERS A, 141(1-2), 9-13 [10.1016/0375-9601(89)90434-9].
The correspondence between stochastic mechanics and quantum mechanics on multiply connected configuration spaces
LOFFREDO, MARIA IMMACOLATA
1989-01-01
Abstract
We show how to obtain a complete correspondence between stochastic and quantum mechanics on multiply connected spaces. We do this by introducing a stochastic mechanical analog of the hydrodynamical circulation, relating it to the topological properties of the configuration space, and using it to constrain the stochastic mechanical variational principles.
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https://hdl.handle.net/11365/39651
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