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Generalizations of Kijowski's time-of-arrival distribution for interaction potentials

A. D. Baute·I. L. Egusquiza·J. G. Muga
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Abstract

Several proposals for a time-of-arrival distribution of ensembles of independent quantum particles subject to an external interaction potential are compared making use of the ``crossing state'' concept. It is shown that only one of them has the properties expected for a classical distribution in the classical limit. The comparison is illustrated numerically with a collision of a Gaussian wave packet with an opaque square barrier.

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A. D. Baute, I. L. Egusquiza, J. G. Muga. 2001-02-01. Generalizations of Kijowski's time-of-arrival distribution for interaction potentials. https://doi.org/10.1103/physreva.64.012501

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