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Bugajski, S.; Motyka, Z.

Generalized Borel law and quantum probabilities. (English) Zbl 0487.60034

Int. J. Theor. Phys. 20, 263-268 (1981).
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MSC:

60F15 Strong limit theorems
81P20 Stochastic mechanics (including stochastic electrodynamics)
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
03G12 Quantum logic
28A33 Spaces of measures, convergence of measures

Keywords:

classical and generalized probability theories; Borel-Finkelstein law; Mackey-type probability theory
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References:

[1] Beltrametti, E. G., and Cassinelli, G. (1976). ?Logical and Mathematical Structures of Quantum Mechanics,?Rivista del Nuovo Cimento,6, 321-404. · Zbl 0365.06002 · doi:10.1007/BF02747218
[2] Davidon, W. C. (1976), ?Single System and Ensemble Interpretations of Pure Quantum States,?Physica Norvegica,8, 200-205.
[3] d’Espagnat, B. (1976).Conceptual Foundations of Quantum Mechanics. Benjamin, New York.
[4] Finkelstein, D. (1965). ?The Logic of Quantum Physics,?Transactions of the New York Academy of Science,25, 621-637.
[5] Gnedenko, B. V. (1976).The Theory of Probability. Mir Publishers, Moscow. · Zbl 0191.46702
[6] Greechie, R. J., and Gudder, S. P. (1973). Quantum Logics, in:Contemporary Research in the Foundations and Philosophy of Quantum Theory, ed. Hooker, C.A., Reidel, D., Dordrecht, pp. 143-173.
[7] Halmos, P. R. (1950).Measure Theory. Van Nostrand, New York. · Zbl 0040.16802
[8] Hartle, J. B. (1968). ?Quantum Mechanics of Individual Systems,?American Journal of Physics,36, 704-712. · doi:10.1119/1.1975096
[9] Jauch, J. M. (1974). ?The Quantum Probability Calculus,?Synthese,29, 131-154. · Zbl 0342.60004 · doi:10.1007/BF00484955
[10] Lahti, P. J., and Talja, J. (1980). ?Interpretation of Quantum Mechanics as Resulting from the Interpretation of Probability,? to be published.
[11] Mackey, G. W. (1963).The Mathematical Fundations of Quantum Mechanics, Benjamin, New York. · Zbl 0114.44002
[12] Ochs, W. (1977). ?On the Strong Law of Large Numbers in Quantum Probability Theory,?Journal of Philosophical Logic,6, 473-480. · Zbl 0374.60040 · doi:10.1007/BF00262083
[13] Ochs, W. (1980). ?Gesetze der grossen Zahlen zur Auswertung quantenmechanischer Messreihen,? in:Grundlagen der Quantentheorie, eds. Mittelstaedt, P., and Pfarr, J., Bibliographischen Institut, Mannheim, pp. 127-138.
[14] Onicescu, O. (1973). ?Extension of the Theory of Probability,? inLogic, Methodology and Philosophy of Science IV, eds. Suppes, P., et al. North-Holland, Amsterdam, pp. 439-449.
[15] Popper, K. (1967). ?Quantum Mechanics Without The Observer,? inQuantum Theory and Reality, ed. Bunge, M., Springer, Berlin, pp. 7-44.
[16] van Fraassen, B. C. (1977). ?Relative Frequencies,?Synthese,34, 439-449. · Zbl 0385.60004
[17] Varadarajan, V. S. (1962). ?Probability in Physics and a Theorem on Simultaneous Observability,?Communications in Pure and Applied Mathematics,15, 189-217. · Zbl 0109.44705 · doi:10.1002/cpa.3160150207
[18] von Neumann, J. (1938). ?On Infinite Direct Products,?Compositio Mathematica 6, 1-77; reprinted in von Neumann, J. (1961).Collected Works, Vol. III, ed. Taub, A. H. Pergamon Press, Oxford, pp. 323-399. · JFM 64.0377.01
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