Uncertainty relations in the framework of equalities

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    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.

    Original languageEnglish
    Pages (from-to)998-1012
    Number of pages15
    JournalJournal of Mathematical Analysis and Applications
    Volume445
    Issue number1
    DOIs
    Publication statusPublished - 2017 Jan 1

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    Keywords

    • Uncertainty relations

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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