Article
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Nonlinear Maccone-Pati Uncertainty Principle
Version 1
: Received: 31 January 2024 / Approved: 31 January 2024 / Online: 31 January 2024 (12:28:59 CET)
How to cite: KRISHNA, K.M. Nonlinear Maccone-Pati Uncertainty Principle. Preprints 2024, 2024012224. https://doi.org/10.20944/preprints202401.2224.v1 KRISHNA, K.M. Nonlinear Maccone-Pati Uncertainty Principle. Preprints 2024, 2024012224. https://doi.org/10.20944/preprints202401.2224.v1
Abstract
We show that one of the two important uncertainty principles derived by Maccone and Pati \textit{[Phys. Rev. Lett., 2014]} can be derived for arbitrary maps defined on subsets of $\mathcal{L}^p$ spaces for $1< p<\infty$. Our main tool is the Clarkson inequalities. We also derive a nonlinear uncertainty principle for weak parallelogram spaces and Type-p Banach spaces.
Keywords
Uncertainty Principle, Lebesgue space, Clarkson inequality, Parallelogram space, Type of Banach space.
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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