Abstract
In this talk we show how an operatonal description naturally arises from a Quantum Logical description. The mathematical support of this construction is the ordered vector space E consisting of the expectation value functions for the observables of the Quantum Logical description. The “questions” of logic will correspond to the set of all decision effects of E. Every element in E results by constructing the norm mean of some decision effect valued probability measure on R, whose uniqueness can be proved. Moreover, we give necessary and sufficient conditions for an operational description being obtainable from a Quantum Logical one.
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© 1981 Plenum Press, New York
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Abbati, M.C., Manià, A. (1981). The Quantum Logical and the Operational Description for Physical Systems. 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_9
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DOI: https://doi.org/10.1007/978-1-4613-3228-2_9
Publisher Name: Springer, Boston, MA
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