dorsal/arxiv
View SchemaTime-of-Arrival States
| Authors | J. Oppenheim, B. Reznik, W. G. Unruh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807043 |
| URL | https://arxiv.org/abs/quant-ph/9807043 |
| DOI | 10.1103/PhysRevA.59.1804 |
| Journal | Phys.Rev. A59 (1999) 1804 |
Abstract
Although one can show formally that a time-of-arrival operator cannot exist, one can modify the low momentum behaviour 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.
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"abstract": "Although one can show formally that a time-of-arrival operator cannot exist,\none can modify the low momentum behaviour of the operator slightly so that it\nis self-adjoint. We show that such a modification results in the difficulty\nthat the eigenstates are drastically altered. In an eigenstate of the modified\ntime-of-arrival operator, the particle, at the predicted time-of-arrival, is\nfound far away from the point of arrival with probability 1/2.",
"arxiv_id": "quant-ph/9807043",
"authors": [
"J. Oppenheim",
"B. Reznik",
"W. G. Unruh"
],
"categories": [
"quant-ph",
"gr-qc"
],
"doi": "10.1103/PhysRevA.59.1804",
"journal_ref": "Phys.Rev. A59 (1999) 1804",
"title": "Time-of-Arrival States",
"url": "https://arxiv.org/abs/quant-ph/9807043"
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