Complementarity between Position and Momentum as a Consequence of Kochen-Specker Arguments

Abstract

We give two simple Kochen-Specker arguments for complementary between the position and momentum components of spinless particles, arguments that are identical in structure to those given by Peres and Mermin for spin-1/2 particles.

4 pages, LaTeX

References in corpus (3)

• Hidden Variables and the Two Theorems of John Bell
• Finite precision measurement nullifies the Kochen-Specker theorem
• Non-Contextual Hidden Variables and Physical Measurements

Cited by in corpus (13)

• Quantum entanglement
• Kochen-Specker Vectors
• Greenberger-Horne-Zeilinger paradox for continuous variables
• State-independent quantum contextuality for continuous variables
• Greenberger-Horne-Zeilinger nonlocality for continuous variable systems
• Geometry of Uncertainty Relations for Linear Combinations of Position and Momentum
• Demonstrating quantum contextuality of indistinguishable particles by a single family of noncontextuality inequalities
• EPR-Bell-Schrödinger proof of nonlocality using position and momentum
• The many mathematical faces of Mermin's proof of the Kochen-Specker theorem
• Kochen-Specker Obstruction for Position and Momentum Using a Single Degree of Freedom
• Diagnosing the Trouble With Quantum Mechanics
• Observables have no value: a no-go theorem for position and momentum observables
• From EPR, Schrödinger paradox to nonlocality based on perfect correlation