In [author, J. Sov. Math. 23, 2534-2553 (1983); translation from Itogi Nauki Tekh., Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern. 19, 55-84 (1982; Zbl 0517.60002)] an attempt has been made to construct a classical stochastic model of the charge distribution, equivalent to the quantum mechanical description. The formalism connecting the Kolmogorov-Feller equation with the equation for the Wigner function, contained in the cited paper, has been discovered again in [\textit{Ph. Combe}, \textit{F. Guerra}, \textit{R. Rodrigues}, \textit{M. Sirugue}, and \textit{M. Sirugue- Collin}, Physica A 124, 561-574 (1984); \textit{J. Bertrand}, \textit{B. Gaveau}, and \textit{G. Rideau}, Quantum probability and applications II, Proc. 2nd Workshop, Heidelberg/Ger. 1984, Lect. Notes Math. 1136, 74-80 (1985; Zbl 0574.60100); \textit{Ph. Blanchard} and \textit{M. Sirugue}, Commun. Math. Phys. 101, 173-185 (1985; Zbl 0607.60025)]. The present paper consists in a further elaboration of the ideas of the author's above cited paper, and although the model presented here has a somewhat naive character, it raises, perhaps, a number of interesting questions in the theory of charged particles.