Uncertainty Relations in the Framework of Equalities
classification
🧮 math.FA
math-phmath.MPquant-ph
keywords
relationsequalitiesframeworkuncertaintyalgebraiccommutationequalityhardy
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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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