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arXiv:2110.14479

Polar Duality Between Pairs of Transverse Lagrangian Planes. Applications to Uncertainty Principles

Maurice A. de Gosson

Published Oct 26, 2021• 0 citations
arXivHTMLPDF

Abstract

We extend the notion of polar duality to pairs of transverse Lagrangian planes in the standard symplectic space. This allows us to show that polar duality has a natural interpretation in terms of symplectic geometry. We apply our results to the quantum principle of indeterminacy.
DOI
10.48550/arxiv.2110.14479

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