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Quantum Logics and Ideal Measurements of the First Kind

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Quantum Mechanics, A Half Century Later

Part of the book series: Episteme ((EPIS,volume 5))

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Abstract

We choose the framework of a probabilistic interpretation of the states of a physical system: a state α is a probability measure on the set ℒ of propositions (classes of equivalent yes-no experiments) whose minimal structure is that of orthoposet containing the union of disjoint elements. We denote by S the set of the states. Let a ∈ ℒ, αJ; then α: ℒ → [0, 1], and α(a) is physically interpreted as the probability of the yes response of a when the initial state of the system is α.

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© 1977 D. Reidel Publishing Company, Dordrecht, Holland

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Cassinelli, G., Beltrametti, E.G. (1977). Quantum Logics and Ideal Measurements of the First Kind. In: Lopes, J.L., Paty, M. (eds) Quantum Mechanics, A Half Century Later. Episteme, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1196-9_4

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  • DOI: https://doi.org/10.1007/978-94-010-1196-9_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1198-3

  • Online ISBN: 978-94-010-1196-9

  • eBook Packages: Springer Book Archive

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