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Stochastic theories and deterministic differential equations - MaRDI portal

Stochastic theories and deterministic differential equations (Q606161)

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

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    Stochastic theories and deterministic differential equations (English)
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    16 November 2010
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    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.
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