Quantum arrival-time distributions from intensity functions

Joachim Wlodarz

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Abstract

The quantum time-of-arrival problem is discussed within the standard formulation of nonrelativistic quantum mechanics with parametric time. It is shown that a general class of arrival-time probability distributions results from the assumption that the arrival process of a quantum particle is similar in nature to other time-dependent arrival-type processes occurring, e.g., in population biology or queue theory. A simple but illustrative example related to the well-known Wigner discussion of the time-energy uncertainty relation is given and the numerical results obtained are compared with Kijowski's distribution [Rep. Math. Phys. 6, 362 (1974)] of arrival times for a free quantum particle.
Original languageEnglish
JournalPhysical Review A
Volume65
Issue number4
Pages (from-to)044103
ISSN2469-9926
DOIs
Publication statusPublished - 2002

Bibliographical note

Copyright (2002) American Physical Society

Keywords

  • MECHANICS
  • PIECEWISE DETERMINISTIC DYNAMICS
  • EVENTS

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