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Concrete Quantum Logics

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Abstract

Concrete quantum logics are quantum logics which allow for a set representation.They seem to be of significant conceptual value within quantum axiomatics andthey play an important role in the theory of orthomodular structures asset-representable orthomodular posets or lattices and they also sometimes constitutea “domain” for investigations in “noncommutative.” measure theory. This paperpresents a survey of recent results on this class of logics. Stress is put on thealgebraic and measure-theoretic aspects. Several open questions relevant tothe logicoalgebraic foundation of quantum theories are posed.

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  1. Faculty of Electrical Engineering, Department of Mathematics, Czech Technical University, T 166 27, Prague 6, Czech Republic

    Pavel Pták

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  1. Pavel Pták
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Pták, P. Concrete Quantum Logics. International Journal of Theoretical Physics 39, 827–837 (2000). https://doi.org/10.1023/A:1003626929648

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