@article{MASLO_2001_51_3_a9,
author = {Bugajski, S{\l}awomir},
title = {Statistical maps. {II:} {Operational} random variables and the {Bell} phenomenon},
journal = {Mathematica slovaca},
pages = {343--361},
year = {2001},
volume = {51},
number = {3},
mrnumber = {1842321},
zbl = {1088.81022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_2001_51_3_a9/}
}
Bugajski, Sławomir. Statistical maps. II: Operational random variables and the Bell phenomenon. Mathematica slovaca, Tome 51 (2001) no. 3, pp. 343-361. http://geodesic.mathdoc.fr/item/MASLO_2001_51_3_a9/
[1] BELL J. S.: On the Einstein-Podolsky-Rosen paradox. Physics 1 (1964), 195-200.
[2] FINE A.: Hidden variables, joint probability, and the Bell inequalities. Phys. Rev. Lett. 48 (1982), 291-295. | MR
[2a] FINE A.: Joint distributions, quantum correlations, and commuting observables. J. Math. Phys. 23 (1982), 1306-1310. | MR
[3] BELTRAMETTI E. G.-BUGAJSKI S.: The Bell phenomenon in classical frameworks. J. Phys. A 29 (1996), 247-261. | MR | Zbl
[4] ACCARDI L.-CECCHINI, C: Conditional expectations on von Neumann algebras and a theorem of Takesaki. J. Funct. Anal. 45 (1982), 245-273. | MR
[5] ACCARDI L.-FRIGERIO A.-LEWIS J. T.: Quantum stochastic processes. Publ. Res. Inst. Math. Sci. 18 (1982), 97-133. | MR | Zbl
[6] STREATER R. F.: Classical and quantum probability. arXiv:math-ph/0002029 (27 Feb 2000). | MR | Zbl
[7] BUSCH P.- GRABOWSKI M.-LAHTI P. J.: Operational Quantum Physics. Springer-Verlag, Berlin, 1995. | MR
[8] BUGAJSKI S.: Fundamentals of fuzzy probability theory. Internat. J. Theoret. Phys. 35 (1996), 2229-2244. | MR | Zbl
[9] BUGAJSKI S.-HELLWIG K.-E.-STULPE W.: On fuzzy random variables and statistical maps. Rep. Math. Phys. 41 (1998), 1-11. | MR | Zbl
[10] BUGAJSKI S.: Fuzzy stochastic processes. Open Syst. Inf. Dyn. 5 (1998), 169-185. | Zbl
[11] GUDDER S.: Fuzzy probability theory. Demonstratio Math. 31 (1998), 235-254. | MR | Zbl
[12] BUGAJSKI S.: Statistical maps I. Basic properties. Math. Slovaca 51 (2001), 321 342. | MR | Zbl
[13] BUGAJSKI S.: Classical and quantal in one or How to describe mesoscopic systems. Molecular Phys. Rep. 11 (1995), 161-171.
[14] PURI M. L.-RALESCU D. A.: Fuzzy random variables. J. Math. Anal. Appl. 114 (1986), 409-422. | MR | Zbl
[15] RIEČAN B.-NEUBRUNN T.: Integral, Measure, and Ordering. Math. Appl. 411, Kluwer, Dordrecht, 1997. | MR | Zbl
[16] BAUER H.: Probability Theory and Elements of Measure Theory. Academic Press, London, 1981. | MR | Zbl
[17] HOLEVO A. S.: Probabilistic and Statistical Aspects of Quantum Theory. North-Holland, Amsterdam, 1982. | MR | Zbl
[18] BUSCH P.-LAHTI P. J.-MITTELSTAEDT P.: The Quantum Theory of Measurement. (2nd ed.), Springer-Verlag, Berlin, 1996. | MR | Zbl
[19] ARAKI H.: A remark on Machida-Namiki theory of measurement. Progr. Theoret. Phys. 64 (1980), 719-730. | MR | Zbl
[20] VON NEUMANN J.: Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton, N.J., 1955. | MR | Zbl
[21] MISRA B.: On a new definition of quantal states. In: Physical Reality and Mathematical Description (C P. Enz, J. Mehra, eds.), D. Reidel Publishing Company, Dordrecht-Holland, 1974, pp. 455-476.
[22] BELTRAMETTI E. G.-BUGAJSKI S.: Quantum observables in classical frameworks. Internat. J. Theoret. Phys. 34 (1995), 1221-1229. | MR | Zbl
[22a] BELTRAMETTI E. G.-BUGAJSKI S.: A classical extension of quantum mechanics. J. Phys. A 28 (1995), 3329-3343. | MR | Zbl
[23] BOHM D.: Quantum Theory. Prentice-Hall, Inc, Englewood Cliffs, NJ., 1951.