Journal
PHYSICAL REVIEW A
Volume 104, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.104.042214
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Funding
- Research Foundation Flanders (Fonds Wetenschappelijk Onderzoek) [G066918N]
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Experimental data show that some time-of-arrival probability distributions do not exhibit the expected behavior, leading to doubts about the physical adequacy of these proposals, while the quantum flux distribution demonstrates the expected behavior.
It is shown that a class of exponentially decaying time-of-arrival probability distributions, suggested by Wlodarz [Phys. Rev. A 65. 044103 (2002)], Marchewka and Schuss [Phys. Lett. A 240. 177 (1998), Phys. Rev. A 63, 032108 (2001); 65, 042112 (2002)1, and Jurman and Nikolie [Phys. Lett. A 396. 127247 (2021)], and a semiclassical distribution implicit in time-of-flight momentum measurements do not show the expected behavior for a Gaussian wave train. This casts doubts on the physical adequacy of these arrival-time proposals. In contrast, the quantum flux distribution (a special case of the Bohmian arrival-time distribution) displays the expected behavior.
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