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

K. Kowalski·J. Rembielinski
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Abstract

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 $Δ^2(\hatϕ)$ 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.

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K. Kowalski, J. Rembielinski. 2003-05-13. Reply to the Comment on ``On the uncertainty relations and squeezed states for the quantum mechanics on a circle''. https://doi.org/10.1088/0305-4470%2F36%2F20%2F323

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