Abstract
The notion of product is introduced in the framework of proposition-state structures. Central roles are played by the invariance of the superposition relation and the maximality property of the states under the interaction of physical systems.
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References
Aerts, D. (1982).Foundation of Physics,12, 1131.
Aerts, D. (1984).Reports on Mathematical Physics,20, 117.
Aerts, D., and Daubachies, I. (1978).Helvetica Physica Acta,51, 661.
Beltrametti, E. G., and Cassinelli, G. (1981).The Logic of Quantum Mechanics, Addison Wesley, Reading, Massachusetts.
Berzi, V., and Zecca, A. (1974).Communications in Mathematical Physics,35, 93.
Hellwig, K. E., and Krausser, D. (1977).International Journal of Theoretical Physics,16, 775.
Gleason, A. M. (1957).Journal of Mathematics and Mechanics,6, 885.
Gorini, V., and Zecca, A. (1975).Journal of Mathematical Physics,16, 667.
Jauch, J. M. (1968).Foundation of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.
Ludwig, G. (1973). Measuring and preparing processes, inFoundation of Quantum Mechanics and Ordered Linear Spaces, Marburg.
Maeda, F., and Maeda, S. (1970).Theory of Symmetric Lattices, Springer-Verlag, Berlin.
Piron, C. (1976).Foundations of Quantum Physics, Benjamin, Reading, Massachusetts.
Pulmannová, S. (1983).International Journal of Theoretical Physics,22, 851.
Pulmannová, S. (1985).Journal of Mathematical Physics,26, 1.
Sudarshan, E. C. G. (1976).Pramana,6, 117.
Varadarajan, V. S. (1968).Geometry of Quantum Theory, Van Nostrand, Princeton, New Jersey.
Zecca, A. (1976).International Journal of Theoretical Physics,15, 785.
Zecca, A. (1978).Journal of Mathematical Physics,19, 1482.
Zecca, A. (1981a). InCurrent Issues in Quantum Logic, E. G. Beltrametti and B. C. Van Fraassen, eds., Plenum Press, New York.
Zecca, A. (1981b).International Journal of Theoretical Physics,20, 191.
Zecca, A. (1992).International Journal of Theoretical Physics,31, 1363.
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Zecca, A. Product of proposition-state structures preserving superposition. Int J Theor Phys 33, 983–994 (1994). https://doi.org/10.1007/BF01882745
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DOI: https://doi.org/10.1007/BF01882745