Abstract
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 Hermitian time of arrival operator whose probability distribution arises from the Born rule and which has a clear physical interpretation. The same procedure can be employed to measure the “time at which some event happens” for arbitrary events (and not just specifically for the arrival time of a particle).
- Received 4 July 2019
- Accepted 21 February 2020
DOI:https://doi.org/10.1103/PhysRevLett.124.110402
© 2020 American Physical Society
Physics Subject Headings (PhySH)
Quantum Information, Science & TechnologyGeneral Physics