The Kolmogorov–Feller equation and the probabilistic model of quantum mechanics

The survey is devoted to generalizations of the modern theory of measurement and the probabilistic interpretation of quantum-mechanical quantities. The relation between the quasidispersion and dispersion of indirect measurements is discussed. An example is presented of a dynamical system with random parameters averaging with respect to which is equivalent to averaging of an appropriate pseudodifferential operator relative to a certain quantum-mechanical function of state.