dorsal/arxiv
View Schema``Weighing'' a closed system and the time-energy uncertainty principle
| Authors | Yakir Aharonov, Benni Reznik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906030 |
| URL | https://arxiv.org/abs/quant-ph/9906030 |
| DOI | 10.1103/PhysRevLett.84.1368 |
| Journal | Phys.Rev.Lett.84:1368-1370,2000 |
Abstract
A gedanken-experiment is proposed for `weighing'' the total mass of a closed system from within the system. We prove that for an internal observer the time $\tau$, required to measure the total energy with accuracy $\Delta E$, is bounded according to $\tau \Delta E >\hbar $. This time-energy uncertainty principle for a closed system follows from the measurement back-reaction on the system. We generally examine what other conserved observables are in principle measurable within a closed system and what are the corresponding uncertainty relations.
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"abstract": "A gedanken-experiment is proposed for `weighing\u0027\u0027 the total mass of a closed\nsystem from within the system. We prove that for an internal observer the time\n$\\tau$, required to measure the total energy with accuracy $\\Delta E$, is\nbounded according to $\\tau \\Delta E \u003e\\hbar $. This time-energy uncertainty\nprinciple for a closed system follows from the measurement back-reaction on the\nsystem. We generally examine what other conserved observables are in principle\nmeasurable within a closed system and what are the corresponding uncertainty\nrelations.",
"arxiv_id": "quant-ph/9906030",
"authors": [
"Yakir Aharonov",
"Benni Reznik"
],
"categories": [
"quant-ph",
"gr-qc"
],
"doi": "10.1103/PhysRevLett.84.1368",
"journal_ref": "Phys.Rev.Lett.84:1368-1370,2000",
"title": "``Weighing\u0027\u0027 a closed system and the time-energy uncertainty principle",
"url": "https://arxiv.org/abs/quant-ph/9906030"
},
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