Abstract
An extremely important problem in the quantum logic approach to quantum mechanics is to characterize those orthomodular lattices that can be embedded in Hilbert space1, 7, 10, 11, 15, 17, 22. Since it is well-known8, 9 that an arbitrary orthomodular lattice L has no such embedding, one must add physically motivated conditions to L for an embedding to exist. In this paper we shall give a characterization in terms of a single physical condition. The idea behind this condition relies on concepts from the algebraic5, 13 and operational3, 4, 19, 20 approaches to quantum mechanics. In this way, the present paper obtain a unifying connection between these three approaches to axiomatic quantum mechanics.
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© 1981 Plenum Press, New York
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Gudder, S.P. (1981). Representations of Baer *-Semigroups and Quantum Logics in Hilbert Space. In: Beltrametti, E.G., van Fraassen, B.C. (eds) Current Issues in Quantum Logic. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3228-2_24
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DOI: https://doi.org/10.1007/978-1-4613-3228-2_24
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