On the position uncertainty measure on the circle
Quantum Physics
2009-11-10 v1 Atomic Physics
Abstract
New position uncertainty (delocalization) measures for a particle on the circle are proposed and illustrated on several examples, where the previous measures (based on 2pi-periodic position operators) appear to be unsatisfactory. The new measures are suitably constructed using the standard multiplication angle operator variances. They are shown to depend solely on the state of the particle and to obey uncertainty relations of the Schroedinger-Robertson type.
Cite
@article{arxiv.quant-ph/0307137,
title = {On the position uncertainty measure on the circle},
author = {D. A. Trifonov},
journal= {arXiv preprint arXiv:quant-ph/0307137},
year = {2009}
}
Comments
Latex 2e, 7 pages, 1 .ps figure