Stochastic Theories and Deterministic Differential Equations

John F. Moxnes and Kjell Hausken

Advances in Mathematical Physics, 2010, vol. 2010, 1-29

Abstract:

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:749306

DOI: 10.1155/2010/749306

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