Nonlinear Heisenberg-Robertson-Schrodinger Uncertainty Principle

2024/03/01 by K. Mahesh Krishna, Krishna, K. Mahesh
Decision Sciences · #26A16 #46B99 #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Information Theory (cs.IT) #Mathematical Physics (math-ph) #Probabilistic and Robust Engineering Design

paper · pdf · doi:10.48550/arxiv.2403.17946

openalex publication_date 2024/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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