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Uncertainty principles on C*-algebras

2025/01/27 by Bhattacharya, Saptak
Mathematics · #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2501.15844

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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