Kochen-Specker Obstruction for Position and Momentum Using a Single Degree of Freedom

Abstract

It is shown that, given a reasonable continuity assumption regarding possessed values, it is possible to construct a Kochen-Specker obstruction for any coordinate and its conjugate momentum, demonstrating that at most one of these two quantities can have a noncontextual value.

This version replaces v1, which contained a faulty continuity conditon

References in corpus (2)

• Hidden Variables and the Two Theorems of John Bell
• Complementarity between Position and Momentum as a Consequence of Kochen-Specker Arguments

Cited by in corpus (1)

• Geometry of Uncertainty Relations for Linear Combinations of Position and Momentum