Abstract
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 language | English |
|---|---|
| Article number | 1804 |
| Pages (from-to) | 1804-1808 |
| Number of pages | 5 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 59 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 1999 |
| Externally published | Yes |