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

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

2002-09-04

arxiv.org/abs/quant-ph/0209032v1

J. Phys. A 36 (2003) 2197 (for eq. (11) see Erratum: J. Phys. A 36 (2003) 5359)

Physics

Quantum Physics

5 pages, LaTex2e, 3 figures.eps

Scientific paper

10.1088/0305-4470/36/8/316

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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