Abstract
In Nelson's stochastic mechanics, quantum phenomena are described in terms of diffusions instead of wave functions. These diffusions are formally given by stochastic differential equations with extremely singular coefficients. Using PDE methods, we prove the existence of solutions. This result provides a rigorous basis for stochastic mechanics.
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Communicated by A. Jaffe
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Carlen, E.A. Conservative diffusions. Commun.Math. Phys. 94, 293–315 (1984). https://doi.org/10.1007/BF01224827
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DOI: https://doi.org/10.1007/BF01224827