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arXiv · 1606.02937

Uncertainty Relations in the Framework of Equalities

Tohru Ozawa·Kazuya Yuasa
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Abstract

We study the Schr\"odinger-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.

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Tohru Ozawa, Kazuya Yuasa. 2016-06-09. Uncertainty Relations in the Framework of Equalities. https://doi.org/10.1016/j.jmaa.2016.08.023

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