Abstract
The event-structure of a state-event system, containing unsharp elements, can be described either as aregular involutive bounded poset, or alternatively as anunsharp orthoalgebra (called alsodifference poset oreffect algebra). Such structures give rise to different forms ofunsharp quantum logics.
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References
Busch, P., Lahti, P., and Mittelstaedt, P. (1991).The Quantum Theory of Measurement, Springer-Verlag, Berlin.
Cattaneo, G., and Laudisa, F. (1994). Axiomatic unsharp quantum mechanics,Foundations of Physics,24, 631–683.
Dalla Chiara, M. L., and Giuntini, R. (1994). Partial and unsharp quantum logics,Foundations of Physics,24, 1161–1177.
Dalla Chiara, M. L., and Giuntini, R. (n.d.). The logics of orthoalgebras,Studia Logica, to appear.
Dalla Chiara, M. L., Cattaneo, G., and Giuntini, R. (1993). Fuzzy-intuitionistic quantum logic,Studia Logica,52, 1–24.
Davies, E. B. (1983).Quantum Theory of Open Systems, Academic Press, New York.
Dvurečenskij, A. (1994). Tensor product of difference posets,Proceedings of the American Mathematical Society, to appear.
Dvurečenskij, A., and Pulmannovà, S. (1994). Difference posets, effects, and quantum measurements,International Journal of Theoretical Physics,33, to appear.
Foulis, D. J., and Bennett, M. K. (n.d.). Effect algebras and unsharp quantum logics,Foundations of Physics, to appear.
Giuntini, R. (n.d.). Quantum MV algebras, preprint.
Giuntini, R., and Greuling, H. (1989). Toward a formal language for unsharp properties,Foundations of Physics,20, 931–935.
Kôpka, F., and Chovanec, F. (1994). D-posets,Mathematica Slovaca,44, 21–34.
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Dalla Chiara, M.L. Unsharp quantum logics. Int J Theor Phys 34, 1331–1336 (1995). https://doi.org/10.1007/BF00676245
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DOI: https://doi.org/10.1007/BF00676245