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zbMATH Open
Article . 1985
Data sources: zbMATH Open
Journal of Mathematical Physics
Article . 1985 . Peer-reviewed
Data sources: Crossref
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Tensor product of quantum logics

Authors: Pulmannová, Sylvia;

Tensor product of quantum logics

Abstract

A quantum logic is the couple (L,M) where L is an orthomodular σ-lattice and M is a strong set of states on L. The Jauch–Piron property in the σ-form is also supposed for any state of M. A ‘‘tensor product’’ of quantum logics is defined. This definition is compared with the definition of a free orthodistributive product of orthomodular σ-lattices. The existence and uniqueness of the tensor product in special cases of Hilbert space quantum logics and one quantum and one classical logic are studied.

Keywords

product of logics, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), Stochastic mechanics (including stochastic electrodynamics), Hilbert space logics, Quantum logic, coupling of physical systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
30
Average
Top 10%
Average
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