Probability amplitude structure of Fokker–Plank equation

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.

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Year of publication:	2003
Authors:	Torres, M.S. ; Figueiredo, J.M.A.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 329.2003, 1, p. 68-80
Publisher:	Elsevier
Subject:	Quantum mechanics \| Stochastic mechanics \| Fokker–Planck equation \| Schrödinger equation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011059388