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

Abstract

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.

5 pages, LaTex2e, 3 figures.eps

References in corpus (4)

• On the uncertainty relations and squeezed states for the quantum mechanics on a circle
• Generalized uncertainty relations and coherent and squeezed states
• Remarks on the Extended Characteristic Uncertainty Relations
• Heisenberg's Uncertainty Relations and Quantum Optics

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• Reply to the Comment on ``On the uncertainty relations and squeezed states for the quantum mechanics on a circle''
• On the position uncertainty measure on the circle