New families of finite coherent orthoalgebras without bivaluations

Journal of Mathematical Physics

Volumn 47, Issue 2, 2006, Pages

  Ruuge, Artur E ^a   Van Oystaeyen, Freddy ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644628886     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2171691     Document Type: Article

References (11)

1. Birkhoff, G. and von Neumann, J., " The logic of quantum mechanics., " Ann. Math. 37, 823-843 (1936).
2. Dvurečenskij, A. and Pulmannová, S., New Trends in Quantum Structures, Mathematics and its Applications, 516 (Kluwer Academic, Dordrecht, 2002) (Ister Science, Bratislava, 2000).
3. Foulis, D. J. and Bennett, M. K., " Effect algebras and unsharp quantum logics., " Special issue dedicated to Constantin Piron on the occasion of his sixtieth birthday, Found. Phys. 24, 1331-1352 (1994).
4. Foulis, D. J., Greechie, R. J., and Rüttimann, G. T., " Filters and supports in orthoalgebras., " Int. J. Theor. Phys. 31, 789-807 (1992).
5. Isham, C. J., " Topos theory and consistent histories: the internal logic of the set of all consistent sets., " Int. J. Theor. Phys. 36, 785-814 (1997).
6. Kochen, S. and Specker, E. P., " The problem of hidden variables in quantum mechanics., " J. Math. Mech. 17, 59-87 (1967).
7. Mackey, G. W., Mathematical Foundations of Quantum Mechanics (Benjamin, New York, 1963).
8. Mermin, D., " Hidden variables and the two theorems of John Bell., " Rev. Mod. Phys. 65, 803-815 (1993).
9. Ruuge, A. E., " Indeterministic objects in the category of effect algebras and the passage to the semiclassical limit., " Int. J. Theor. Phys. 43, 2325-2354 (2004).
10. Ruuge, A. E. and Van Oystaeyen, F., " Saturated Kochen-Specker-type configuration of 120 projective lines in eight-dimensional space and its group of symmetry., " J. Math. Phys. 46, 052109, 28 pp. (2005).
11. Von Neumann, J., Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, NJ, 1955).