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We model ideal arrival-time measurements for free quantum particles and forparticles subject to an external interaction by means of a narrow and weakabsorbing potential. This approach is related to the operational approach ofmeasuring the first photon emitted from a two-level atom illuminated by alaser. By operator-normalizing the resulting time-of-arrival distribution, adistribution is obtained which for freely moving particles not only recoversthe axiomatically derived distribution of Kijowski for states with purelypositive momenta but is also applicable to general momentum components. Forparticles interacting with a square barrier the mean arrival time andcorresponding ``tunneling time'' obtained at the transmission side of thebarrier becomes independent of the barrier width (Hartman effect) forarbitrarily wide barriers, i.e., without the transition to the ultra-opaque,classical-like regime dominated by wave packet components above the barrier.Comment: 10 pages, 5 figures, RevTe

Operator-normalized quantum arrival times in the presence of interactions