Time-of-arrival states

J. Oppenheim*, B. Reznik, W. G. Unruh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Although one can show formally that a time-of-arrival operator cannot exist, one can modify the low-momentum behavior of the operator slightly so that it is self-adjoint. We show that such a modification results in the difficulty that the eigenstates are drastically altered. In an eigenstate of the modified time-of-arrival operator, the particle, at the predicted time of arrival, is found far away from the point of arrival with probability 1/2.

Original languageEnglish
Article number1804
Pages (from-to)1804-1808
Number of pages5
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number3
StatePublished - Mar 1999
Externally publishedYes


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