Probabilités et fluctuations quantiques (Probabilities and quantum fluctuations)

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dc.creatorFliess, Michel
dc.date2007-04-16
dc.date.accessioned2026-07-07T08:09:14Z
dc.date.available2026-07-07T08:09:14Z
dc.descriptionThis note is sketching a simple and natural mathematical construction for explaining the probabilistic nature of quantum mechanics. It employs nonstandard analysis and is based on Feynman's interpretation of the Heisenberg uncertainty principle, i.e., of the quantum fluctuations, which was brought to the forefront in some fractal approaches. It results, as in Nelson's stochastic mechanics, in stochastic differential equations which are deduced from infinitesimal random walks. An extended english abstract gives most of the details.
dc.identifierhttps://arxiv.org/abs/0704.2019
dc.identifierhttp://arxiv.org/abs/0704.2019
dc.identifierComptes rendus de l'académie des sciences, Mathématiques 344 (2007) 663-668
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131477
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectLogic
dc.subjectProbability
dc.titleProbabilités et fluctuations quantiques (Probabilities and quantum fluctuations)
dc.typetext

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