Approximate hidden variables

Foundations of Physics

Volumn 30, Issue 7, 2000, Pages 971-1000

  Zisis, M ^a  

^a UNIVERSITY OF THE AEGEAN   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034361336     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003662802913     Document Type: Article

References (29)

1. E. G. Beltrametti and G. Cassinelli, The Logic of Quantum Mechanics (Addison-Wesley, Reading, Massachusetts, 1981).
2. R. Giuntini, Quantum Logic and Hidden Variables (Bibliographisches Institut, Mannheim, 1991).
3. A. Peres, Quantum Theory: Concepts and Methods (Kluwer/Academic, Dordrecht, 1993).
4. B. Misra, "When can hidden variables be excluded in quantum mechanics?," Nuovo Cimento A 47, 841-859 (1967).
5. M. Rédei, "Conditions excluding the existence of approximate hidden variables," Phys. Lett. A 110, 15-16 (1985).
6. J. M. Jauch and C. Piron, "Can hidden variables be excluded in quantum mechanics?," Helvetica Physica Acta 36, 827-837 (1963).
7. P. Pták and S. Pulmannová, Orthomodular Structures as Quantum Logics (Kluwer/ Academic, Dordrecht, 1991).
8. P. R. Halmos, Lectures on Boolean Algebras (Van Nostrand, Princeton, New Jersey, 1963; reprinted by Springer, New York. 1974).
9. A. M. Gleason, "Measures on the closed subspaces of a Hilbert space," J. Math. Mech. 6, 885-893 (1957).
10. J. S. Bell, "On the problem of hidden variables in quantum mechanics," Rev. Mod. Phys. 38, 447-452 (1966).
11. S. Kochen and E. P. Specker, "The problem of hidden variables in quantum mechanics," J. Math. Mech. 17, 59-87 (1967).
12. P. C. Deliyannis, "Generalized hidden variables theorem," J. Math. Phys. 12, 1013-1017 (1971).
13. V. S. Varadarajan, Geometry of Quantum Theory, Vol. I (Van Nostrand, Princeton, New Jersey, 1968).
14. N. Zierler and M. Schlessinger, "Boolean embeddings of orthomodular sets and quantum logic," Duke Math. J. 32, 251-262 (1965).
15. V. Alda, "On 0-1 measure for projectors. II," Aplikace Matematiky 26, 57-58 (1981).
16. F. Kamber, "Die Structur des Aussagenkalküls in einer physikalischen Theorie," Nachrichten der Akademie der Wissenschaften Mathematisch-Physikalische Klasse 10, 103-124 (1964). English translation: "The structure of the propositional calculus of a physical theory," C. A. Hooker, ed., The Logico-Algebraic Approach to Quantum Mechanics, Vol. I (Reidel, Dordrecht, 1975), pp. 221-245.
17. F. Kamber, "Die Structur des Aussagenkalküls in einer physikalischen Theorie," Nachrichten der Akademie der Wissenschaften Mathematisch-Physikalische Klasse 10, 103-124 (1964). English translation: "The structure of the propositional calculus of a physical theory," C. A. Hooker, ed., The Logico-Algebraic Approach to Quantum Mechanics, Vol. I (Reidel, Dordrecht, 1975), pp. 221-245.
18. R. Godowski, "Partial Greechie diagrams for modular ortholattices," Demonstratio Mathematica 20, 291-297 (1987).
19. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1955).
20. J. M. Jauch, Foundations of Quantum Mechanics (Addison-Wesley, Reading, Massachusetts, 1968).
21. N. Dunford and J. T. Schwartz, Linear Operators, Vol. I (Wiley-Interscience, New York, 1958).
22. J. Diestel and J. J. Uhl, Vector Measures (American Mathematical Society, Providence, Rhode Island, 1977).
23. P. R. Halmos, Measure Theory (Van Nostrand, Princeton, New Jersey, 1950; reprinted by Springer, New York, 1974).
24. S. Lang, Real Analysis, 2nd ed. (Addison-Wesley, Reading, Massachusetts, 1983).
25. P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics (Springer, Berlin, Heidelberg, 1995).
26. G. Kalmbach, Orthomodular Lattices (Academic, London, 1983).
27. P. J. Lahti, "Uncertainty and complementarity in axiomatic quantum mechanics," Int. J. Theoret. Phys. 19, 789-842 (1980).
28. H. Hanche-Olsen and E. Størmer, Jordan Operator Algebras (Pitman, London, 1984).
29. L. J. Bunce and J. D. M. Wright, 'Continuity and linear extensions of quantum measures on Jordan algebras," Mathematica Scandinavica 64, 300-306 (1989).