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

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.
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/39651
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