标题： 概率与量子涨落 显示英文标题

标题： Probabilités et fluctuations quantiques (Probabilities and quantum fluctuations)

摘要： 本文概述了一种简单而自然的数学构造，用以解释量子力学的概率本质。 它利用了非标准分析，并基于费曼对海森堡不确定性原理（即量子涨落）的解释，这种解释在某些分形方法中被突出强调。 其结果与纳尔逊的随机力学一样，导出了由无穷小随机游走推导出的随机微分方程。 一篇扩展的英文摘要提供了大多数细节。 显示英文摘要

摘要： This 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.