Uncertainty Relations in the Framework of Equalities

Abstract

We study the Schrödinger-Robertson uncertainty relations in an algebraic framework. Moreover, we show that some specific commutation relations imply new equalities, which are regarded as equality versions of well-known inequalities such as Hardy's inequality.

14 pages

References in corpus (1)

• A stability version of Hölder's inequality

Cited by in corpus (3)

• Uncertainty relations on nilpotent Lie groups
• From Rényi Entropy Power to Information Scan of Quantum States
• Directional Heisenberg uncertainty product