Flack, R;
Hiley, B;
(2018)
Feynman Paths and Weak Values.
Preprints: Basel, Switzerland.
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Abstract
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
| Type: | Working / discussion paper |
|---|---|
| Title: | Feynman Paths and Weak Values |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.20944/preprints201804.0241.v1 |
| Publisher version: | https://doi.org/10.20944/preprints201804.0241.v1 |
| Language: | English |
| Additional information: | This is an open access article distributed under the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Dirac 'trajectories'; Feynman paths; Weak values; Bohm approach |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10073900 |
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