Dynamical Theories of Brownian Motion
Dynamical Theories of Brownian Motion
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DOI：
10.2307/j.ctv15r57jg
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发表时间：
1967-02
期刊：
影响因子：
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通讯作者：
Edward Nelson
中科院分区：
文献类型：
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作者：
Edward Nelson
这些笔记是根据纳尔逊教授1966年春季学期在普林斯顿大学的一门课程所作的讲座而写的。布朗运动的主题一直是数学概率的兴趣。在这些讲座中，纳尔逊教授追溯了布朗运动早期工作的历史，包括数学理论和自然现象及其物理解释。他继续通过最近的动力学理论的布朗运动，并结束了讨论的相关性，这些理论的量子场论和量子统计力学。
These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenon with its physical interpretations. He continues through recent dynamical theories of Brownian motion, and concludes with a discussion of the relevance of these theories to quantum field theory and quantum statistical mechanics.