Minimum-Uncertainty Angular Wave Packets and Quantized Mean Values

dc.creatorKostelecky, Alan
dc.creatorTudose, Bogdan
dc.date1995-12-29
dc.date.accessioned2026-07-07T12:04:22Z
dc.date.available2026-07-07T12:04:22Z
dc.descriptionUncertainty 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.
dc.descriptionaccepted for publication in Physical Review A
dc.identifierhttps://arxiv.org/abs/quant-ph/9512030
dc.identifierhttp://arxiv.org/abs/quant-ph/9512030
dc.identifierPhys.Rev.A53:1978-1981,1996
dc.identifierdoi:10.1103/PhysRevA.53.1978
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208113
dc.subjectQuantum Physics
dc.titleMinimum-Uncertainty Angular Wave Packets and Quantized Mean Values
dc.typetext

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