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On extension properties for observables. (English) Zbl 0474.03032
MSC:
03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
06E99 Boolean algebras (Boolean rings)
81P20 Stochastic mechanics (including stochastic electrodynamics)
06B99 Lattices
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References:
[1] GUZ W.: Quantum logic and a theorem on commensurability. Reports on Math. Phys., 2, 1971, 53-61.
[2] MANCZYŃSKI M. J.: Extension properties for spectral measures. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys., 26, 1978, 35-39. · Zbl 0367.46042
[3] NEUBRUNN T.: On certain type of generalized random variables. Acta Fac. Rer. Natur. Univ. Commen. Math., 29, 1974, 1-6. · Zbl 0294.60008
[4] PRUGOVEČKI E.: Quantum mechanics in Hilbert space. Acad. Press., N.Y. 1971. · Zbl 0217.44204
[5] SIKORSKI R.: Boolean algebras. 3rd Springer-Verlag 1969. · Zbl 0191.31505
[6] VARADARAJAN V. S.: Probability in physics and a theorem on simultaneous observability. Comm. Pure appl. Math., 1962, 189-217. · Zbl 0109.44705
[7] ZIERLER N.: Axioms for non-relativistic quantum mechanics. Pac. J. Math., 11, 1961, 1151-1169. · Zbl 0138.44503
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