Stochastic Theories and Deterministic Differential Equations

الملخص EN

We discuss the concept of “hydrodynamic” stochastic theory, which is not based on the traditional Markovian concept.

A Wigner function developed for friction is used for the study of operators in quantum physics, and for the construction of a quantum equation with friction.

We compare this theory with the quantum theory, the Liouville process, and the Ornstein-Uhlenbeck process.

Analytical and numerical examples are presented and compared.