Comment on "On the uncertainty relations and squeezed states for the quantum mechanics on a circle"
Quantum Physics
2009-11-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0209032,
title = {Comment on "On the uncertainty relations and squeezed states for the quantum mechanics on a circle"},
author = {D. A. Trifonov},
journal= {arXiv preprint arXiv:quant-ph/0209032},
year = {2009}
}
Comments
5 pages, LaTex2e, 3 figures.eps