On the Uncertainty Principle for Metaplectic Transformations

2024/05/30 by Lerner, Nicolas
#37J11 #47A13 #81S30 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2405.19938

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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