Author： Pták P.
Publisher： Springer Publishing Company
ISSN： 0020-7748
Source： International Journal of Theoretical Physics, Vol.39, Iss.3, 2000-03, pp. : 827-837
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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 and they play an important role in the theory of orthomodular structures as set-representable orthomodular posets or lattices and they also sometimes constitute a “domain” for investigations in “noncommutative.” measure theory. This paper presents a survey of recent results on this class of logics. Stress is put on the algebraic and measure-theoretic aspects. Several open questions relevant to the logicoalgebraic foundation of quantum theories are posed.
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