Stochastic Theories and Deterministic Differential Equations

Moxnes, John Fredrik; Hausken, Kjell
Journal article, Peer reviewed
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URI
http://hdl.handle.net/11250/2466250
Date
2010-05
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Original version
Moxnes, J.F., Hausken, K. (2010) Stochastic Theories and Deterministic Differential Equations, Advances in Mathematical Physics. Article ID 749306.   10.1155/2010/749306
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.
Publisher
Hindawi Publishing Corporation
Journal
Advances in Mathematical Physics
Copyright
Copyright © 2010 John F. Moxnes and Kjell Hausken.
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