The time distribution of quantum events

Jurman, Danijel; Nikolić, Hrvoje (2021) The time distribution of quantum events. Physics Letters A, 396 . ISSN 03759601

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Abstract

We develop a general theory of the time distribution of quantum events, applicable to a large class of problems such as arrival time, dwell time and tunneling time. A stopwatch ticks until an awaited event is detected, at which time the stopwatch stops. The awaited event is represented by a projection operator pi, while the ideal stopwatch is modeled as a series of projective measurements at which the quantum state gets projected with either (pi) over bar = 1 - pi (when the awaited event does not happen) or pi (when the awaited event eventually happens). In the approximation in which the time delta t between the subsequent measurements is sufficiently small (but not zero!), we find a fairly simple general formula for the time distribution P(t), representing the probability density that the awaited event will be detected at time t. (C) 2021 Elsevier B.V. All rights reserved.

Item Type:	Article
Uncontrolled Keywords:	time distribution; quantum event; projection
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SIN Blaženka Melić KK.01.1.1.06.0006 EK
Depositing User:	Ema Buhin Šaler
Date Deposited:	04 May 2026 12:15
URI:	https://fulir.irb.hr:/id/eprint/11865
DOI:	10.1016/j.physleta.2021.127247

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