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arXiv quant-ph/02090322002-09-04quant-ph

Comment on "On the uncertainty relations and squeezed states for the quantum mechanics on a circle"

D. A. Trifonov

备注：: 5 pages, LaTex2e, 3 figures.eps
发表信息：: J. Phys. A 36 (2003) 2197 (for eq. (11) see Erratum: J. Phys. A 36 (2003) 5359)
DOI：: 10.1088/0305-4470/36/8/316

英文摘要：

It is shown by examples that the position uncertainty on a circle, proposed recently by Kowalski and Rembieliński [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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