11: Noncommuting Operators and Uncertainty Last updated Dec 5, 2021 Save as PDF 10.3: Total Angular Momentum 11.1: Eigenstates and Commuting Operators Page ID56866 Pieter KokUniversity of Sheffield ( \newcommand{\kernel}{\mathrm{null}\,}\) 11.1: Eigenstates and Commuting Operators11.2: Non-Commuting Operators11.3: Quantifying Uncertainty11.3.1: Mean and Variance11.3.2: Uncertainty in Quantum Mechanics11.4: The Heisenberg Uncertainty Principle11.4.1: An Alternate Formulation11.4.2: Vacuum Energy