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On joint distribution in quantum logics. I. Compatible observables

Anatolij Dvurečenskij (1987)

Aplikace matematiky

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.

On joint distribution in quantum logics. II. Noncompatible observables

Anatolij Dvurečenskij (1987)

Aplikace matematiky

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 a system...

On Kalmbach measurability

A. B. d' Andrea, P. de Lucia, John David Maitland Wright (1994)

Applications of Mathematics

In this note we show that, for an arbitrary orthomodular lattice L , when μ is a faithful, finite-valued outer measure on L , then the Kalmbach measurable elements of L form a Boolean subalgebra of the centre of L .

Currently displaying 41 – 60 of 111