On a subject of diverse improvisations: The uncertainty relations on a circle

dc.creatorDumitru, S.
dc.date2002-06-03
dc.date2002-06-11
dc.date.accessioned2026-07-07T06:04:17Z
dc.date.available2026-07-07T06:04:17Z
dc.descriptionThe disputed question of uncertainty relations (UR) on a circle is regarded as a particular element of a more general problem which refers to the quantum description of angular observables $L_z$ and $ϕ$. The improvised $L_z-ϕ$ UR are found to be affected by unsourmontable shortcomings. Also in contradiction with a largely accepted belief it is proved that the usual procedures of quantum mechanics are accurately applicable for the $L_z-ϕ$ pair. The applicability regards both the known circular motions and the less known non-circular rotational motions. The presented facts contribute as arguments to the following indubitable conclusions: (i) the traditional interpretation of UR must be denied as an incorrect doctrine, (ii) for a natural physical consideration of the the $L_z-ϕ$ pair the results from the usual quantum mechanics are sufficient while the improvised $L_z-ϕ$ UR must be rejected as senseless formulas and (iii) the descriptions of quantum measurements have to be done in a framework which is distinct and additional in respect with the usual quantum mechanics.
dc.description23 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/0206009
dc.identifierhttp://arxiv.org/abs/quant-ph/0206009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90245
dc.subjectQuantum Physics
dc.titleOn a subject of diverse improvisations: The uncertainty relations on a circle
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