The arrival time is a simple classical concept, very common in laboratory practice. This
review describes theoretical problems encountered in trying to obtain a quantum …

In this review we present the problem of time in quantum physics, including a short history of
the problem and the known objections about considering time as a quantum observable …

We propose a time-of-arrival operator in quantum mechanics by conditioning on a quantum
clock. This allows us to bypass some of the problems of previous proposals, and to obtain a …

We revisit the arguments underlying two well-known arrival-time distributions in quantum
mechanics, viz., the Aharonov–Bohm–Kijowski (ABK) distribution, applicable for freely …

It is shown that a class of exponentially decaying time-of-arrival probability distributions,
suggested by Włodarz [Phys. Rev. A 65, 044103 (2002) 10.1103/PhysRevA. 65.044103] …

We reappraise and clarify the contradictory statements found in the literature concerning the
time-of-arrival operator introduced by Aharonov and Bohm in Phys. Rev. 122, 1649 (1961) …

New quantum probability flow bounds and associated eigenfunctions are determined
numerically for a free non-relativistic particle, with momentum lying in the range (p 0,∞), for …

The most general classical expression defining the first passage time is given in terms of the
absorption rate with perfectly absorbing boundary conditions. Its operational use in quantum …

Using standard results from statistics, we show that for Gaussian quantum systems the
distribution of a time measurement at a fixed position can be directly inferred from the …

A realization of the concept of “crossing state” invoked, but not implemented, by Wigner,
allows advancement in two important aspects of the formalization of the time of arrival in …