Fuzzy quantum logics as a basis for quantum probability theory (Q1266034)

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scientific article; zbMATH DE number 1196995
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Fuzzy quantum logics as a basis for quantum probability theory
scientific article; zbMATH DE number 1196995

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    Fuzzy quantum logics as a basis for quantum probability theory (English)
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    7 March 1999
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    The author presents a representation of an abstract quantum logic with an ordering set \(S\) of states via fuzzy sets on \(S\) which are given by evaluational functionals. Such a representation of fuzzy sets is given by Łukasiewicz (or Giles) connectives. Some indications for building a phase-space representation of quantum mechanics free of the problem of negative probabilities are given.
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    fuzzy quantum logic
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    quantum probability theory
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    state
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    ordering set of states
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