Probability amplitude structure of Fokker–Plank equation

M.S. Torres and J.M.A. Figueiredo

Physica A: Statistical Mechanics and its Applications, 2003, vol. 329, issue 1, 68-80

Abstract: We study the classical motion of a particle subject to a Wiener-type stochastic force of general nature. We then present a perturbative scheme for the associated Ito Fokker–Planck equation. The first two terms of this expansion arc noise independent and result in a theory that is similar to Quantum Mechanics, having the same field equations for probability amplitudes, the same operator structure and symmetric ordering of operators.

Keywords: Quantum mechanics; Stochastic mechanics; Fokker–Planck equation; Schrödinger equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:329:y:2003:i:1:p:68-80

DOI: 10.1016/S0378-4371(03)00615-0

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