dorsal/arxiv
View SchemaTemporal Ordering in Quantum Mechanics
| Authors | J. Oppenheim, B. Reznik, W. Unruh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003130 |
| URL | https://arxiv.org/abs/quant-ph/0003130 |
| DOI | 10.1088/0305-4470/35/35/308 |
| Journal | J.Phys.A35:7641-7652,2002 |
Abstract
We examine the measurability of the temporal ordering of two events, as well as event coincidences. In classical mechanics, a measurement of the order-of-arrival of two particles is shown to be equivalent to a measurement involving only one particle (in higher dimensions). In quantum mechanics, we find that diffraction effects introduce a minimum inaccuracy to which the temporal order-of-arrival can be determined unambiguously. The minimum inaccuracy of the measurement is given by dt=1/E where E is the total kinetic energy of the two particles. Similar restrictions apply to the case of coincidence measurements. We show that these limitations are much weaker than limitations on measuring the time-of-arrival of a particle to a fixed location.
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"abstract": "We examine the measurability of the temporal ordering of two events, as well\nas event coincidences. In classical mechanics, a measurement of the\norder-of-arrival of two particles is shown to be equivalent to a measurement\ninvolving only one particle (in higher dimensions). In quantum mechanics, we\nfind that diffraction effects introduce a minimum inaccuracy to which the\ntemporal order-of-arrival can be determined unambiguously. The minimum\ninaccuracy of the measurement is given by dt=1/E where E is the total kinetic\nenergy of the two particles. Similar restrictions apply to the case of\ncoincidence measurements. We show that these limitations are much weaker than\nlimitations on measuring the time-of-arrival of a particle to a fixed location.",
"arxiv_id": "quant-ph/0003130",
"authors": [
"J. Oppenheim",
"B. Reznik",
"W. Unruh"
],
"categories": [
"quant-ph",
"gr-qc"
],
"doi": "10.1088/0305-4470/35/35/308",
"journal_ref": "J.Phys.A35:7641-7652,2002",
"title": "Temporal Ordering in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0003130"
},
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