Uncertainty principle and joint distributions of observables

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1. [1] G.W. Mackey, Mathematical foundations of quantum mechanics, W. A. Benjamin, New York, 1963. Zbl0114.44002
2. [2] M.J. Maczyński, A remark on Mackey's axiom system for quantum mechanics, Bull. Acad. Polon. Sci., t. 15, 1967, p. 583-587. Zbl0203.00801MR224343
3. [3] V.S. Varadarajan, Geometry of quantum theory, Van Nostrand, Princeton, N. Y., 1968. Zbl0155.56802MR471674
4. [4] S.P. Gudder, Joint distributions of observables, Journ. of Math. and Mech., t. 18, 1968, p. 325-335. Zbl0241.60092MR232582
5. [5] J.M. Jauch, The quantum probability calculus, in: Logic and probability in quantum mechanics, P. Suppes ed., p. 123-146, Reidel, Dordrecht, 1976. Zbl0339.60001MR672642
6. [6] S. Pulmannová, Relative compatibility and joint distributions of observables, Found. Phys., t. 10, 1980, p. 641-653. MR659345
7. [7] A. Dvurečenskij, S. Pulmannová, Connection between joint distributions and compatibility of observables. Rep. Math. Phys., t. 19, 1984, p. 349-359. Zbl0552.03041MR745430
8. [8] A. Dvurečenskij, S. Pulmannová, On joint distributions of observables, Math. Slovaca, t. 32, 1982, p. 155-166. Zbl0495.60007MR658249
9. [9] S. Pulmannová, Compatibility and partial compatibility in quantum logics, Ann. Inst. Henri Poincaré, t. 34, 1981, p, 391-403. Zbl0469.03045MR625170
10. [10] S. Pulmannova, Commutators in orthomodular lattices, submitted for publication. Zbl0591.06011
11. [11] S. Bugajski, P. Lahti, Fundamental principles of quantum theory, Int. Journ. Theoret. Phys., t. 19, 1980, p. 499-514. MR584835
12. [12] P. Lahti, Uncertainty principle and complementarity in axiomatic quantum mechanics, Rep. Math. Phys., t. 17, 1980, p. 99-110. MR630263
13. [13] P. Lahti, Uncertainty and complementarity in axiomatic quantum mechanics, Int. Journ. Theor. Phys., t. 19, 1980, p. 789-842. MR607572
14. [14] P. Lahti, Characterization of quantum logics, Int. Journ. Theor. Phys., t. 19, 1980, p. 905-923. Zbl0473.03055MR608173
15. [15] S.P. Gudder, Spectral methods for a generalized probability theory, Trans. Amer. Math. Soc., t. 119, 1965, p. 428-442. Zbl0161.46105MR183657
16. [16] P. Suppes, Probability concepts in quantum mechanics, Philosophy of Science, t. 22, 1961, p. 378-389. 
17. [17] S.P. Gudder, Some unsolved problems in quantum logics, in: Mathematical foundations of quantum theory, A. R. Marlow ed., p. 87-103, Academic Press, New York, 1978. MR495813
18. [18] A. Dvurečenskij, On two problems of quantum logics, Math. Slovaca, in press. Zbl0616.03038MR866626

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