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Journal of Physics A Mathematical and General

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

D. A. Trifonov

Published Apr 29, 2003• 2 citations
Publisher

Abstract

Errors were introduced at typesetting stage to equations (11) and (12) on page 2201. Please see the pdf for the corrected formulas.
DOI
10.1088/0305-4470/36/19/501

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In the preceding Comment (quant-ph/0209032) Trifonov disputes our recently proposed uncertainty relations for a quantum particle on a circle. He states that (i) the quantity Δ2(ϕ^)Δ^2(\hatϕ)Δ2(ϕ^​) introduced by us representing the uncertainty of the angle is not a proper measure of the position uncertainty and therefore the proposed inequalities can hardly be qualified as a relevant uncertainty relations on a circle; and that (ii) the most suitable uncertainty relations on a circle are those based on the Gram-Robertson matrix. It is shown by examples that both points are erroneous.