Field theory and the future of stochastic mechanics
Field theory and the future of stochastic mechanics
复制标题
场论和随机力学的未来
DOI：
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发表时间：
1986
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
指出了随机力学作为一种物理理论的一些严重困难，并建议通过研究时空上的随机场而不是粒子系统在组态空间中的扩散来克服这些困难。对贝尔定理的讨论得出结论：贝尔定理对经典随机场描述量子现象没有阻碍。提出了一种与随机力学相关的新的量化方法。在自由标量场的情况下，从无时间解析延拓的随机场构造量子场。在一个与量子现象描述有关的程序中，描述了几个关于随机场的开放问题。
Some severe difficulties with stochastic mechanics as a physical theory are pointed out, and it is suggested that these difficulties may be overcome by studying random fields on space-time rather than the diffusion of particle systems in configuration space. A discussion of Bell's theorem leads to the conclusion that it is no obstacle to the description of quantum phenomena by classical random fields. A new quantization method related to stochastic mechanics is developed. The construction of quantum fields from random fields without analytic continuation in time is carried out in the case of the free scalar field. Several open problems concerning random fields are described, in a program relating them to the description of quantum phenomena.