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. The model is valid for general electromagnetic interaction as well as many body systems with mutual interactions of general nature.