dorsal/arxiv
View SchemaOn the position uncertainty measure on the circle
| Authors | D. A. Trifonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307137 |
| URL | https://arxiv.org/abs/quant-ph/0307137 |
| DOI | 10.1088/0305-4470/36/47/013 |
| Journal | J. Phys. A36 (2003) 11873 |
Abstract
New position uncertainty (delocalization) measures for a particle on the circle are proposed and illustrated on several examples, where the previous measures (based on 2pi-periodic position operators) appear to be unsatisfactory. The new measures are suitably constructed using the standard multiplication angle operator variances. They are shown to depend solely on the state of the particle and to obey uncertainty relations of the Schroedinger-Robertson type.
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"abstract": "New position uncertainty (delocalization) measures for a particle on the\ncircle are proposed and illustrated on several examples, where the previous\nmeasures (based on 2pi-periodic position operators) appear to be\nunsatisfactory. The new measures are suitably constructed using the standard\nmultiplication angle operator variances. They are shown to depend solely on the\nstate of the particle and to obey uncertainty relations of the\nSchroedinger-Robertson type.",
"arxiv_id": "quant-ph/0307137",
"authors": [
"D. A. Trifonov"
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"doi": "10.1088/0305-4470/36/47/013",
"journal_ref": "J. Phys. A36 (2003) 11873",
"title": "On the position uncertainty measure on the circle",
"url": "https://arxiv.org/abs/quant-ph/0307137"
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