On uncertainty relations in noncommutative quantum mechanics
High Energy Physics - Theory
2009-11-07 v2
Abstract
We discuss the uncertainty relations in quantum mechanics on noncommutative plane. In particular, we show that, for a given state at most one out of three basic nontrivial uncertainty relations can be saturated. We consider also in some detail the case of angular momentum eigenstates.
Cite
@article{arxiv.hep-th/0208162,
title = {On uncertainty relations in noncommutative quantum mechanics},
author = {Katarzyna Bolonek and Piotr Kosinski},
journal= {arXiv preprint arXiv:hep-th/0208162},
year = {2009}
}
Comments
8 pages, revised version, few references added