ON THE NOTION OF COEXISTENCE IN QUANTUM MECHANICS

Paul Busch*, Jukka Kiukas, Pekka Lahti

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (SciVal)
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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 languageEnglish
Pages (from-to)665-680
Number of pages16
JournalMathematica Slovaca
Volume60
Issue number5
DOIs
Publication statusPublished - 08 Oct 2010
Externally publishedYes

Keywords

  • coexistent observables
  • joint measurability
  • noncommutativity
  • unsharpness

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