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

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

2003-05-13

arxiv.org/abs/quant-ph/0305069v1

J. Phys. A: Math. Gen. 36 (2003) 5695-5698

Physics

Quantum Physics

5 pages

Scientific paper

10.1088/0305-4470/36/20/323

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 $\Delta^2(\hat\phi)$ 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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