dorsal/arxiv
View SchemaMinimum-Uncertainty Angular Wave Packets and Quantized Mean Values
| Authors | Alan Kostelecky, Bogdan Tudose |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9512030 |
| URL | https://arxiv.org/abs/quant-ph/9512030 |
| DOI | 10.1103/PhysRevA.53.1978 |
| Journal | Phys.Rev.A53:1978-1981,1996 |
Abstract
Uncertainty relations between a bounded coordinate operator and a conjugate momentum operator frequently appear in quantum mechanics. We prove that physically reasonable minimum-uncertainty solutions to such relations have quantized expectation values of the conjugate momentum. This implies, for example, that the mean angular momentum is quantized for any minimum-uncertainty state obtained from any uncertainty relation involving the angular-momentum operator and a conjugate coordinate. Experiments specifically seeking to create minimum-uncertainty states localized in angular coordinates therefore must produce packets with integer angular momentum.
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"abstract": "Uncertainty relations between a bounded coordinate operator and a conjugate\nmomentum operator frequently appear in quantum mechanics. We prove that\nphysically reasonable minimum-uncertainty solutions to such relations have\nquantized expectation values of the conjugate momentum. This implies, for\nexample, that the mean angular momentum is quantized for any\nminimum-uncertainty state obtained from any uncertainty relation involving the\nangular-momentum operator and a conjugate coordinate. Experiments specifically\nseeking to create minimum-uncertainty states localized in angular coordinates\ntherefore must produce packets with integer angular momentum.",
"arxiv_id": "quant-ph/9512030",
"authors": [
"Alan Kostelecky",
"Bogdan Tudose"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.53.1978",
"journal_ref": "Phys.Rev.A53:1978-1981,1996",
"title": "Minimum-Uncertainty Angular Wave Packets and Quantized Mean Values",
"url": "https://arxiv.org/abs/quant-ph/9512030"
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