Nonlinear Heisenberg-Robertson-Schrodinger Uncertainty Principle
arXiv:2403.1794614.3h-index: 1
Predicted impact top 86% in FA · last 90 daysOriginality Incremental advance
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This work extends uncertainty principles to nonlinear settings in functional analysis, which is incremental but foundational for theoretical physics and mathematics.
The authors derived a nonlinear uncertainty principle for Lipschitz maps on subsets of Banach spaces, showing it reduces to the Heisenberg-Robertson-Schrodinger principle for linear operators in Hilbert spaces.
We derive an uncertainty principle for Lipschitz maps acting on subsets of Banach spaces. We show that this nonlinear uncertainty principle reduces to the Heisenberg-Robertson-Schrodinger uncertainty principle for linear operators acting on Hilbert spaces.