Approche intrinsèque des fluctuations quantiques en mécanique stochastique (An intrinsic approach to the quantum fluctuations in stochastic mechanics)

Michel Fliess 1
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : This note is answering an old questioning about the Fényes-Nelson stochastic mechanics. The Brownian nature of the quantum fluctuations, which are associated to this mechanics, is deduced from Feynman's interpretation of the Heisenberg uncertainty principle via infinitesimal random walks stemming from nonstandard analysis. It is therefore no more necessary to combine those fluctuations with a background field, which has never been well understood. Most of the technical details are contained in an extended english abstract.
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Submitted on : Tuesday, December 5, 2006 - 2:18:32 PM
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Michel Fliess. Approche intrinsèque des fluctuations quantiques en mécanique stochastique (An intrinsic approach to the quantum fluctuations in stochastic mechanics). [Rapport de recherche] 2006. ⟨inria-00118460⟩

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