Quantum probability distribution of arrival times and probability current density

Details Quantum probability distribution of arrival times and probability current density Quantum probability distribution of arrival times and probability current density

1998-05-19

arxiv.org/abs/quant-ph/9805058v2

Phys. Rev. A 59, 1010 (1999)

Physics

Quantum Physics

21 pages, 7 figures, LaTeX; Revised version to appear in Phys. Rev. A (many small changes)

Scientific paper

10.1103/PhysRevA.59.1010

This paper compares the proposal made in previous papers for a quantum probability distribution of the time of arrival at a certain point with the corresponding proposal based on the probability current density. Quantitative differences between the two formulations are examined analytically and numerically with the aim of establishing conditions under which the proposals might be tested by experiment. It is found that quantum regime conditions produce the biggest differences between the formulations which are otherwise near indistinguishable. These results indicate that in order to discriminate conclusively among the different alternatives, the corresponding experimental test should be performed in the quantum regime and with sufficiently high resolution so as to resolve small quantum efects.

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