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Feynman Paths and Weak Values

Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK
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Entropy 2018, 20(5), 367; https://doi.org/10.3390/e20050367
Received: 16 April 2018 / Revised: 4 May 2018 / Accepted: 9 May 2018 / Published: 14 May 2018
(This article belongs to the Special Issue Emergent Quantum Mechanics – David Bohm Centennial Perspectives)
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. View Full-Text
Keywords: Feynman paths; weak values; Bohm theory Feynman paths; weak values; Bohm theory
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Flack, R.; Hiley, B.J. Feynman Paths and Weak Values. Entropy 2018, 20, 367.

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