The Shannon-entropy-based uncertainty relation for $D$-dimensional central potentials
Mathematical Physics
2013-05-22 v2 math.MP
Abstract
The uncertainty relation based on the Shannon entropies of the probability densities in position and momentum spaces is improved for quantum systems in arbitrary -dimensional spherically symmetric potentials. To find it, we have used the -- norm inequality of L. De Carli and the logarithmic uncertainty relation for the Hankel transform of S. Omri. Applications to some relevant three-dimensional central potentials are shown.
Cite
@article{arxiv.1201.3726,
title = {The Shannon-entropy-based uncertainty relation for $D$-dimensional central potentials},
author = {Łukasz Rudnicki and Pablo Sánchez-Moreno and Jesús S. Dehesa},
journal= {arXiv preprint arXiv:1201.3726},
year = {2013}
}
Comments
13 pages, 3 figures