Stochastic theories and deterministic differential equations
Summary: 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.
scientific article; zbMATH DE number 5816376
scientific article