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224426

Boolean embeddings of orthomodular sets and quantum logic

Neal ZierlerMichael Schlessinger

pp. 247-262

Résumé

By a "quantum logic" we mean a pair F, P where P is a set and F is a set of functions from P to the closed real unit interval satisfying three postulates which we describe in intuitive terms here. Cf. [2], [4], [7]. P may be interpreted as the set of events and F the set of states of a "physical system", and f(">x) then becomes the probability of occurrence of the event x in the state f. Since the outcome of an experiment is an estimate for some f(x), or a collection of such estimates, it is natural to identify events which cannot be distinguished by experiment.

Détails de la publication

Publié dans:

Hooker Clifford A. (1975) The logico-algebraic approach to quantum mechanics I: historical evolution. Dordrecht, Springer.

Pages: 247-262

DOI: 10.1007/978-94-010-1795-4_14

Citation complète:

Zierler Neal, Schlessinger Michael, 1975, Boolean embeddings of orthomodular sets and quantum logic. In C. A. Hooker (ed.) The logico-algebraic approach to quantum mechanics I (247-262). Dordrecht, Springer.