On the Uncertainty Principle for Metaplectic Transformations
Spectral Theory
2024-05-31 v1
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.
Keywords
Cite
@article{arxiv.2405.19938,
title = {On the Uncertainty Principle for Metaplectic Transformations},
author = {Nicolas Lerner},
journal= {arXiv preprint arXiv:2405.19938},
year = {2024}
}
Comments
48 pages, 28 references