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Quantum logics and hilbert space
Foundations of Physics 24 (10):1403-1414 (1994)
Abstract
Starting with a quantum logic (a σ-orthomodular poset) L. a set of probabilistically motivated axioms is suggested to identify L with a standard quantum logic L(H) of all closed linear subspaces of a complex, separable, infinite-dimensional Hilbert spaceMy notes
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References found in this work
Louis Osgood Kattsoff. Modality and probability. The philosophical review, vol. 46 (1937), pp. 78–85.Garrett Birkhoff & John von Neumann - 1937 - Journal of Symbolic Logic 2 (1):44-44.
The Logic of Quantum Mechanics.Garrett Birkhoff, John Von Neumann, The Annals & No Oct - 2008 - 37 (4):823–843.
Nearly orthosymmetric ortholattices and hilbert spaces.R. Mayet & S. Pulmannová - 1994 - Foundations of Physics 24 (10):1425-1437.
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