Minimum uncertainty measurements of angle and angular momentum

dc.creatorHradil, Z.
dc.creatorRehacek, J.
dc.creatorBouchal, Z.
dc.creatorCelechovsky, R.
dc.creatorSanchez-Soto, L. L.
dc.date2006-05-16
dc.date.accessioned2026-07-07T09:52:41Z
dc.date.available2026-07-07T09:52:41Z
dc.descriptionThe uncertainty relations for angle and angular momentum are revisited. We use the exponential of the angle instead of the angle itself and adopt dispersion as a natural measure of resolution. We find states that minimize the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum. These states are described in terms of Mathieu wave functions and may be approximated by a von Mises distribution, which is the closest analogous of the Gaussian on the unit circle. We report experimental results using beam optics that confirm our predictions.
dc.description4 pages, two eps color figures. Submitted for publication
dc.identifierhttps://arxiv.org/abs/quant-ph/0605137
dc.identifierhttp://arxiv.org/abs/quant-ph/0605137
dc.identifierPhys. Rev. Lett. 97, 243601 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.243601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165681
dc.subjectQuantum Physics
dc.titleMinimum uncertainty measurements of angle and angular momentum
dc.typetext

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