On the Uncertainty Principle for Metaplectic Transformations

Fuente: arXiv
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Autore principale: Lerner, Nicolas
Natura: Preprint
Pubblicazione: 2024
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_version_ 1866914816573046784
author Lerner, Nicolas
author_facet Lerner, Nicolas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_19938
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Uncertainty Principle for Metaplectic Transformations
Lerner, Nicolas
Spectral Theory
47A13, 81S30, 37J11
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.
title On the Uncertainty Principle for Metaplectic Transformations
topic Spectral Theory
47A13, 81S30, 37J11
url https://arxiv.org/abs/2405.19938