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Physics Letters A

Note on the Dirac electron and hidden momentum forces

John Hasbrouck Van Vleck, Nai Li Huang

Published Mar 1, 1969• 6 citations
Publisher
DOI
10.1016/0375-9601(69)90612-4

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Abstract In his study of the ‘time of arrival’ problem in the nonrelativistic quantum mechanics of a single particle, Allcock [1] noted that the direction of the probability flux vector is not necessarily the same as that of the mean momentum of a wave packet, even when the packet is composed entirely of plane waves with a common direction of momentum. Packets can be constructed, for example for a particle moving under a constant force, in which probability flows for a finite time in the opposite direction to the momentum. A similar phenomenon occurs for the Dirac electron. The maximum amount of probabilitiy backflow which can occur over a given time interval can be calculated in each case.