Uncertainty principles on $C^{*}$-algebras
Operator Algebras
2025-03-25 v2 Mathematical Physics
math.MP
Abstract
In this paper we prove some uncertainty bounds for commutators and anti-commutators of observables in a -algebra. We give a short, elementary proof of Robertson's Standard Uncertaity Principle in this setting. We also prove some other uncertainty relations for which the lower bound doesn't vanish for any number of observables.
Keywords
Cite
@article{arxiv.2501.15844,
title = {Uncertainty principles on $C^{*}$-algebras},
author = {Saptak Bhattacharya},
journal= {arXiv preprint arXiv:2501.15844},
year = {2025}
}
Comments
11 pages, 0 figures