dorsal/arxiv
View SchemaSpace-time properties of free motion time-of-arrival eigenstates
| Authors | J. G. Muga, C. R. Leavens, J. P. Palao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807066 |
| URL | https://arxiv.org/abs/quant-ph/9807066 |
| DOI | 10.1103/PhysRevA.58.4336 |
| Journal | Phys.Rev. A58 (1998) 1 |
Abstract
The properties of the time-of-arrival operator for free motion introduced by Aharonov and Bohm and of its self-adjoint variants are studied. The domains of applicability of the different approaches are clarified. It is shown that the arrival time of the eigenstates is not sharply defined. However, strongly peaked real-space (normalized) wave packets constructed with narrow Gaussian envelopes centred on one of the eigenstates provide an arbitrarily sharp arrival time.
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"abstract": "The properties of the time-of-arrival operator for free motion introduced by\nAharonov and Bohm and of its self-adjoint variants are studied. The domains of\napplicability of the different approaches are clarified. It is shown that the\narrival time of the eigenstates is not sharply defined. However, strongly\npeaked real-space (normalized) wave packets constructed with narrow Gaussian\nenvelopes centred on one of the eigenstates provide an arbitrarily sharp\narrival time.",
"arxiv_id": "quant-ph/9807066",
"authors": [
"J. G. Muga",
"C. R. Leavens",
"J. P. Palao"
],
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],
"doi": "10.1103/PhysRevA.58.4336",
"journal_ref": "Phys.Rev. A58 (1998) 1",
"title": "Space-time properties of free motion time-of-arrival eigenstates",
"url": "https://arxiv.org/abs/quant-ph/9807066"
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