Stochastic theories and deterministic differential equations
type: Item
instance of: scholarly article
title: Stochastic theories and deterministic differential equations
zbMATH Open document ID: 1201.81084
DOI: 10.1155/2010/749306
author: John F. Moxnes
author: Kjell Hausken
published in: Advances in Mathematical Physics
publication date: 2010-11-16T00:00:00Z
full work available at URL: https://eudml.org/doc/229612
review text: 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.
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 81T15
zbMATH DE Number: 5816376
MaRDI profile type: Publication
OpenAlex ID: W1984927284
Wikidata QID: Q58650084
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description: scientific article; zbMATH DE number 5816376