On the Uncertainty Principle for Metaplectic Transformations

Nicolas Lerner

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arXiv · 2405.19938

On the Uncertainty Principle for Metaplectic Transformations

Nicolas Lerner

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Abstract

We explore the new proofs and extensions of the Heisenberg Uncertainty Principle introduced by A.~Widgerson & Y.~Widgerson in [MR4229152], developed in [MR4453622] by N.C.~Dias, F.~Luef and J.N.~Prata and also in [MR4337266] by Y.~Tang. In particular we give here a proof of the Uncertainty Principle for operators in the Metaplectic group in any dimension.

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Nicolas Lerner. 2024-05-30. On the Uncertainty Principle for Metaplectic Transformations. https://arxiv.org/abs/2405.19938

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