Joint distributions and compatibility of observables in quantum logics

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Joint distributions and compatibility of observables in quantum logics. (English). Mathematica Slovaca, vol. 38 (1988), issue 4, pp. 361-366

MSC: 03G12, 81P10, 81P20 | MR 978766 | Zbl 0662.03054

References:

[1] DVUREČENSKIJ A., PULMANNOVÁ S.: On the sum of observables in a logic. Math. Slovaca., 30, 4, 1980, 393-399. MR 0595300 | Zbl 0454.03030

[2] GUDDER S. P.: Uniqueness and existence properties of bounded observables. Pac. J. Math., 19, 1966, 1, 81-83. MR 0201146 | Zbl 0149.23603

[3] GUDDER S. P.: Joint distributions of observables. J. Math. Mech., 18, 4, 1968, 326-335. MR 0232582 | Zbl 0241.60092

[4] GUDDER S. P.: Stochastic Methods in Quantum Mechanics. North Holland, 1979. MR 0543489 | Zbl 0439.46047

[5] URBANIK K.: Joint probability distributions of observables in quantum mechanics. Studia Math., 21, 1961, 118-133. MR 0154558 | Zbl 0099.22404

[6] URBANIK K.: Joint distributions and commutability of observables. Demonstratio Math., 1, 1985, 31-41. MR 0816018 | Zbl 0635.46057

[7] VARADARAJAN V. S.: Geometry of Quantum Theory. Van Nostrand, New York 1968. MR 0471674 | Zbl 0155.56802

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