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Acta Physiologica Hungarica

Time of Arrival in the Wigner Phase Space Formulation of Quantum Mechanics

Milena Davidović, Ljubica Davidović, Milesa Srećković

Published Nov 1, 2006• 1 citation
Publisher
DOI
10.1556/aph.26.2006.3-4.5

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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.