dorsal/arxiv
View SchemaTime-of-arrival distribution for arbitrary potentials and Wigner's time-energy uncertainty relation
| Authors | A. D Baute, R. Sala Mayato, J. P. Palao, J. G. Muga, I. L. Egusquiza |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904055 |
| URL | https://arxiv.org/abs/quant-ph/9904055 |
| DOI | 10.1103/PhysRevA.61.022118 |
| Journal | Phys.Rev.A61:022118,2000 |
Abstract
A realization of the concept of "crossing state" invoked, but not implemented, by Wigner, allows to advance in two important aspects of the time of arrival in quantum mechanics: (i) For free motion, we find that the limitations described by Aharonov et al. in Phys. Rev. A 57, 4130 (1998) for the time-of-arrival uncertainty at low energies for certain mesurement models are in fact already present in the intrinsic time-of-arrival distribution of Kijowski; (ii) We have also found a covariant generalization of this distribution for arbitrary potentials and positions.
{
"annotation_id": "9741cbe1-cb9d-47aa-be06-815284ecab16",
"date_created": "2026-03-02T18:02:44.914000Z",
"date_modified": "2026-03-02T18:02:44.914000Z",
"file_hash": "d2528dff04a9547b16ecce7c849a57054663df176bc20953ef210abef129ce55",
"private": false,
"record": {
"abstract": "A realization of the concept of \"crossing state\" invoked, but not\nimplemented, by Wigner, allows to advance in two important aspects of the time\nof arrival in quantum mechanics: (i) For free motion, we find that the\nlimitations described by Aharonov et al. in Phys. Rev. A 57, 4130 (1998) for\nthe time-of-arrival uncertainty at low energies for certain mesurement models\nare in fact already present in the intrinsic time-of-arrival distribution of\nKijowski; (ii) We have also found a covariant generalization of this\ndistribution for arbitrary potentials and positions.",
"arxiv_id": "quant-ph/9904055",
"authors": [
"A. D Baute",
"R. Sala Mayato",
"J. P. Palao",
"J. G. Muga",
"I. L. Egusquiza"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.61.022118",
"journal_ref": "Phys.Rev.A61:022118,2000",
"title": "Time-of-arrival distribution for arbitrary potentials and Wigner\u0027s time-energy uncertainty relation",
"url": "https://arxiv.org/abs/quant-ph/9904055"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a89e55e1-2ed9-485e-83d5-1894762bff91",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}