The Quantization Property of Probability Distributions of the Characteristics of Dynamic Systems Observed in the Presence of Random Disturbances

Abstract

The class of linear stochastic dynamic systems is defined, such that the laws of the probability distribution of values of output signals of a system are determined by its equations complying with the case of the absence of random disturbances. These distribution laws are found to be similar to the quantum laws of the distribution values of observable physical quantities. On this basis, a possibility of the definition of the quantum systems as systems of this class is investigated. It is shown that the theoretical proof of some axioms of quantum mechanics and new facts requiring the experimental verification follow from this definition.