Abstract
It is shown that the existing formulations of stochastic mechanics are not equivalent to the Schrödinger equation, as had previously been believed. It is argued that this is a reflection of fundamental inadequacies in the physical foundations of stochastic mechanics.
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Some relatively minor difficulties with the demonstration of equivalence are already known for the special case in which the nodal surface separates the manifold of the diffusion into disjoint components.(1,11) The problems described in this paper are much more general and quite unrelated.
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Wallstrom, T.C. On the derivation of the Schrödinger equation from stochastic mechanics. Found Phys Lett 2, 113–126 (1989). https://doi.org/10.1007/BF00696108
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DOI: https://doi.org/10.1007/BF00696108