dorsal/arxiv
View SchemaComment on "On the uncertainty relations and squeezed states for the quantum mechanics on a circle"
| Authors | D. A. Trifonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209032 |
| URL | https://arxiv.org/abs/quant-ph/0209032 |
| DOI | 10.1088/0305-4470/36/8/316 |
| Journal | J. Phys. A 36 (2003) 2197 (for eq. (11) see Erratum: J. Phys. A 36 (2003) 5359) |
Abstract
It is shown by examples that the position uncertainty on a circle, proposed recently by Kowalski and Rembieli\'nski [J. Phys. A 35 (2002) 1405] is not consistent with the state localization. We argue that the relevant uncertainties and uncertainty relations (UR's) on a circle are that based on the Gram-Robertson matrix. Several of these generalized UR's are displayed and related criterions for squeezed states are discussed.
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"abstract": "It is shown by examples that the position uncertainty on a circle, proposed\nrecently by Kowalski and Rembieli\\\u0027nski [J. Phys. A 35 (2002) 1405] is not\nconsistent with the state localization. We argue that the relevant\nuncertainties and uncertainty relations (UR\u0027s) on a circle are that based on\nthe Gram-Robertson matrix. Several of these generalized UR\u0027s are displayed and\nrelated criterions for squeezed states are discussed.",
"arxiv_id": "quant-ph/0209032",
"authors": [
"D. A. Trifonov"
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"doi": "10.1088/0305-4470/36/8/316",
"journal_ref": "J. Phys. A 36 (2003) 2197 (for eq. (11) see Erratum: J. Phys. A 36\n (2003) 5359)",
"title": "Comment on \"On the uncertainty relations and squeezed states for the quantum mechanics on a circle\"",
"url": "https://arxiv.org/abs/quant-ph/0209032"
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