On the notion of coexistence in quantum mechanics

Details On the notion of coexistence in quantum mechanics On the notion of coexistence in quantum mechanics

2009-05-20

arxiv.org/abs/0905.3222v1

Math. Slovaca 60 (2010), No. 5, 665-680

Physics

Quantum Physics

Scientific paper

10.2478/s12175-010-0039-1

The notion coexistence of quantum observables was introduced to describe the possibility of measuring two or more observables together. Here we survey the various different formalisations of this notion and their connections. We review examples illustrating the necessary degrees of unsharpness for two noncommuting observables to be jointly measurable (in one sense of the phrase). We demonstrate the possibility of measuring together (in another sense of the phrase) noncoexistent observables. This leads us to a reconsideration of the connection between joint measurability and noncommutativity of observables and of the statistical and individual aspects of quantum measurements.

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