On two problems of quantum logics

Anatolij Dvurečenskij

Displaying similar documents to “On two problems of quantum logics”

On joint distribution in quantum logics. II. Noncompatible observables

Anatolij Dvurečenskij (1987)

Aplikace matematiky

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This paper i a continuation of the first part under the same title. The author studies a joint distribution in $σ$ -finite measures for noncompatible observables of a quantum logic defined on some system of $σ$ -independent Boolean sub- $σ$ -algebras of a Boolean $σ$ -algebra. We present some necessary and sufficient conditions fot the existence of a joint distribution. In particular, it is shown that an arbitrary system of obsevables has a joint distribution in a measure iff it may be embedded into...

On a sum of observables in a logic

Anatolij Dvurečenskij (1980)

Mathematica Slovaca

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On joint distribution in quantum logics. I. Compatible observables

Anatolij Dvurečenskij (1987)

Aplikace matematiky

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The notion of a joint distribution in $σ$ -finite measures of observables of a quantum logic defined on some system of $σ$ -independent Boolean sub- $σ$ -algebras of a Boolean $σ$ -algebra is studied. In the present first part of the paper the author studies a joint distribution of compatible observables. It is shown that it may exists, although a joint obsevable of compatible observables need not exist.