On the notion of coexistence in quantum mechanics

Mathematica Slovaca

Paul Busch¹  Pekka Lahti¹  Jukka Kiukas¹ 

关键词: coexistent observables;    joint measurability;    noncommutativity;    unsharpness;   

DOI  :  10.2478/s12175-010-0039-1

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

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.

【 授权许可】

Unknown