Variance uncertainty relations without covariances for three and four observables
Quantum Physics
2018-02-14 v1
Abstract
New sum and product uncertainty relations, containing variances of three or four observables, but not containing explicitly their covariances, are derived. One of consequences is the new inequality, giving a nonzero lower bound for the product of two variances in the case of zero mean value of the commutator between the related operators. Moreover, explicit examples show that in some cases this new bound can be better than the known Robertson--Schr\"odinger one.
Keywords
Cite
@article{arxiv.1711.04037,
title = {Variance uncertainty relations without covariances for three and four observables},
author = {V. V. Dodonov},
journal= {arXiv preprint arXiv:1711.04037},
year = {2018}
}
Comments
6 pages, submitted to PRA