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arXiv · 2501.15844

Uncertainty principles on $C^{*}$-algebras

Saptak Bhattacharya
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Abstract

In this paper we prove some uncertainty bounds for commutators and anti-commutators of observables in a $C^*$-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.

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Saptak Bhattacharya. 2025-01-27. Uncertainty principles on $C^{*}$-algebras. https://arxiv.org/abs/2501.15844

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