Uncertainty principle and joint distributions of observables
Sylvia Pulmannová, Anatolij Dvurečenskij (1985)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Remarks on joint distributions of observables”
Uncertainty principle and joint distributions of observables
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A noncommutative analogue of limit theorems in classical probability theory for distributions of canonical pairs of observables is considered. A complete description of all limit probability operators which are quantum counterparts of the classical infinitely divisible and semistable laws is obtained in the case when scalar norming is generalised to norming by 2 × 2 matrices.
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The paper deals with a new mathematical model for quantum mechanics based on the fuzzy set theory [1]. The indefinite integral of observables is defined and some basic properties of the integral are examined.