The Uncertainty Principle

1929/07/01 by H. P. Robertson · 52 citations
Decision Sciences · #Classical mechanics #Physics #Probabilistic and Robust Engineering Design #Quantum mechanics #Theoretical physics #Uncertainty principle

paper · doi:10.1103/physrev.34.163

crossref issued 1929/07/01 · crossref published 1929/07/01 · crossref published-online 1929/07/01 · openalex publication_date 1929/07/01 · crossref created 2002/07/27 · crossref deposited 2017/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01 · crossref indexed 2026/08/01

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• Sharp uncertainty principles on Riemannian manifolds: the influence of curvature
• Generalized Geometric Quantum Speed Limits
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• Wigner functions for the pair angle and orbital angular momentum
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• Unsharpness of generalized measurement and its effects in entropic uncertainty relations
• Entanglement Detection via Direct-Sum Majorization Uncertainty Relations
• Constructing squeezed states of light with associated Hermite polynomials
• Scaling properties of composite information measures and shape complexity for hydrogenic atoms in parallel magnetic and electric fields
• Generalized Extended Momentum Operator
• Entropic uncertainty and measurement reversibility
• Spin Squeezing in a Rydberg Lattice Clock
• Primordial power spectra of cosmological fluctuations with generalized uncertainty principle and maximum length quantum mechanics
• Upper bound on our knowledge about noncommuting observables for a qubit system
• Ehrenfest dynamics and frictionless cooling methods
• Uncertainty rescued: Bohr's complementarity for composite systems
• Heisenberg uncertainty relation for three canonical observables
• Entanglement and squeezing in continuous-variable systems
• Computing quantum discord is NP-complete
• Relative entropic uncertainty relation
• Nazarov's uncertainty principles in higher dimension
• Quantum discord for two-qubitXstates: Analytical formula with very small worst-case error
• Generalized-mean Cramér-Rao bounds for multiparameter quantum metrology
• Particle-wave duality: a dichotomy between symmetry and asymmetry
• Higher entropic uncertainty relations for anti-commuting observables
• Violation of Heisenberg's error-disturbance relation by Stern-Gerlach measurements
• Entropic information-disturbance tradeoff
• Uncertainty Relations from Simple Entropic Properties
• On Entropic Uncertainty Relations for Measurements of Energy and Its “Complement”
• Joint Measurability of Generalized Measurements Implies Classicality
• Vortex particles in axially symmetric fields and applications of the quantum Busch theorem
• Uncertainty and complementarity relations based on generalized skew information
• An uncertainty view on complementarity and a complementarity view on uncertainty
• Note on product-form monogamy relations for nonlocality and other correlation measures
• Ultimate precision of joint quadrature parameter estimation with a Gaussian probe
• Operations, disturbance, and simultaneous measurability
• Quantum clock: A critical discussion on spacetime
• Determining complementary properties using weak-measurement: uncertainty, predictability, and disturbance
• Flavor-mass majorization uncertainty relations and their links to the mixing matrix
• Non-Gaussian Quantum States and Where to Find Them
• Wehrl entropy, entropic uncertainty relations, and entanglement
• Entropic trade-off relations for quantum operations
• Heisenberg’s Uncertainty Relation and Bell Inequalities in High Energy Physics
• Uncertainty relations for angular momentum
• Canonical commutation relation [wikipedia]
• Howard P. Robertson [wikipedia]