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 language | English |
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Journal | Physical Review A |
Volume | 65 |
Issue number | 4 |
Pages (from-to) | 044103 |
ISSN | 2469-9926 |
DOIs | |
Publication status | Published - 2002 |
Bibliographical note
Copyright (2002) American Physical SocietyKeywords
- MECHANICS
- PIECEWISE DETERMINISTIC DYNAMICS
- EVENTS