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A Hardy’s Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra

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In this article we consider linear operators satisfying a generalized commutation relation of a type of the Heisenberg-Lie algebra. It is proven that a generalized inequality of the Hardy’s uncertainty principle lemma follows. Its applications to time operators and abstract Dirac operators are also investigated.

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  1. Faculty of Mathematics, Kyushu University, Fukuoka, 812-8581, Japan

    Toshimitsu Takaesu

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  1. Toshimitsu Takaesu
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Correspondence to Toshimitsu Takaesu.

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Takaesu, T. A Hardy’s Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra. Lett Math Phys 97, 29–35 (2011). https://doi.org/10.1007/s11005-010-0455-8

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  • DOI: https://doi.org/10.1007/s11005-010-0455-8

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