dorsal/arxiv
View SchemaOn a subject of diverse improvisations: The uncertainty relations on a circle
| Authors | S. Dumitru |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206009 |
| URL | https://arxiv.org/abs/quant-ph/0206009 |
Abstract
The 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 $\phi$. The improvised $L_z-\phi$ 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 $L_z-\phi$ 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 $L_z-\phi$ pair the results from the usual quantum mechanics are sufficient while the improvised $L_z-\phi$ 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.
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"abstract": "The disputed question of uncertainty relations (UR) on a circle is regarded\nas a particular element of a more general problem which refers to the quantum\ndescription of angular observables $L_z$ and $\\phi$. The improvised $L_z-\\phi$\nUR are found to be affected by unsourmontable shortcomings. Also in\ncontradiction with a largely accepted belief it is proved that the usual\nprocedures of quantum mechanics are accurately applicable for the $L_z-\\phi$\npair. The applicability regards both the known circular motions and the less\nknown non-circular rotational motions. The presented facts contribute as\narguments to the following indubitable conclusions: (i) the traditional\ninterpretation of UR must be denied as an incorrect doctrine, (ii) for a\nnatural physical consideration of the the $L_z-\\phi$ pair the results from the\nusual quantum mechanics are sufficient while the improvised $L_z-\\phi$ UR must\nbe rejected as senseless formulas and (iii) the descriptions of quantum\nmeasurements have to be done in a framework which is distinct and additional in\nrespect with the usual quantum mechanics.",
"arxiv_id": "quant-ph/0206009",
"authors": [
"S. Dumitru"
],
"categories": [
"quant-ph"
],
"title": "On a subject of diverse improvisations: The uncertainty relations on a circle",
"url": "https://arxiv.org/abs/quant-ph/0206009"
},
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