Flack Robert, Hiley Basil J
Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK.
Entropy (Basel). 2018 May 14;20(5):367. doi: 10.3390/e20050367.
There has been a recent revival of interest in the notion of a 'trajectory' of a quantum particle. In this paper, we detail the relationship between Dirac's ideas, Feynman paths and the Bohm approach. The key to the relationship is the weak value of the momentum which Feynman calls a transition probability amplitude. With this identification we are able to conclude that a Bohm 'trajectory' is the average of an ensemble of actual individual stochastic Feynman paths. This implies that they can be interpreted as the mean momentum flow of a set of individual quantum processes and not the path of an individual particle. This enables us to give a clearer account of the experimental two-slit results of Kocsis et al.
最近，人们对量子粒子“轨迹”的概念重新产生了兴趣。在本文中，我们详细阐述了狄拉克的思想、费曼路径与玻姆方法之间的关系。这种关系的关键在于动量的弱值，费曼将其称为跃迁概率振幅。通过这种识别，我们能够得出结论：玻姆“轨迹”是实际单个随机费曼路径系综的平均值。这意味着它们可以被解释为一组单个量子过程的平均动量流，而不是单个粒子的路径。这使我们能够更清晰地解释科西斯等人的双缝实验结果。
