On the notion of coexistence in quantum mechanics

P. Busch; J. Kiukas; P. Lahti

doi:10.2478/s12175-010-0039-1

On the notion of coexistence in quantum mechanics

P. Busch, J. Kiukas, P. Lahti

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The notion of 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.

Original language	English
Pages (from-to)	665-680
Number of pages	15
Journal	MATHEMATICA SLOVACA
Volume	60
Issue number	5
DOIs	https://doi.org/10.2478/s12175-010-0039-1
Publication status	Published - Oct 2010

Bibliographical note

Keywords

coexistent observables
joint measurability
noncommutativity
unsharpness
JOINT MEASUREMENT
UNCERTAINTY PRINCIPLE
OBSERVABLES
MOMENTUM
POSITION

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Cite this

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On the notion of coexistence in quantum mechanics

Abstract

Bibliographical note

Keywords

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