Stochastic Theories and Deterministic Differential Equations

Author
Moxnes, John Fredrik
Hausken, Kjell
Date Issued
2010
Permalink
http://hdl.handle.net/20.500.12242/744
https://publications.ffi.no/123456789/744
DOI
10.1155/2010/749306
Collection
Articles
Description
Moxnes, John Fredrik; Hausken, Kjell. Stochastic Theories and Deterministic Differential Equations. Advances in Mathematical Physics 2010 s. -
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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.
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