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

2006/12/05 by Michel Fliess, Fliess, Michel
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Mathematical and Theoretical Analysis #Quantum Mechanics and Applications #math-ph #math.MP #math.PR #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0612033

arxiv created 2006/12/05 · arxiv updated 2009/12/01

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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