  In this article, the following results are obtained: the process of a
randomly wandering particle having a size and a continuous trajectory of motion
is considered; (b) based on the study of this probabilistic process, a
derivation of the Schrodinger equation is proposed; the Planck constant h is
expressed in terms of the characteristics of the stationary stochastic process
under consideration; the probability distribution density of the n-order
derivative for a n-times differentiable stationary stochastic process is
determined; it is shown that the obtained generalized Schrodinger equation is
applicable not only to describe the possible states of microcosm objects, but
also for discrete states of a number of macrocosm stochastic systems
