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arXiv · 1007.0823

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

Toshimitsu Takaesu
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Abstract

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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BibTeXRIS

Toshimitsu Takaesu. 2010-07-06. A Hardy's Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra. https://doi.org/10.1007/s11005-010-0455-8

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