Abstract
We look at the action of the spin-1/2 operatorsof quantum mechanics on the state of an entity in aphysical way, and use this as a guideline to define theoperators of the intermediate situations of a general spin-1/2 measurement model called the∈-model. Then we test the possible linearity ofthe operators so constructed.
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REFERENCES
Aerts, D. (1983). A possible explanation for the probabilities of quantum mechanics and a macroscopic situation that violates Bell inequalities, in Recent Developments in Quantum Logic, P. Mittelstaedt et al., eds., in Grundlagen der Exacten Naturwissenschaf ten, Vol. 6, Wissenschaftverlag, Bibliographisch es Institut, Mannheim, p. 235.
Aerts, D. (1986). A possible explanation for the probabilities of quantum mechanics, Journal of Mathematical Physics, 27, 202.
Aerts, D. (1987). The origin of the non-classical character of the quantum probability model, in Information, Complexity, and Control in Quantum Physics, A. Blanquiere et al., eds., Springer-Verlag, Berlin.
Aerts, D. (1994). Quantum structures, separated physical entities and probability, Foundations of Physics, 24, 1227.
Aerts, D. (1995). Quantum structures: An attempt to explain the origin of their appearance in nature, International Journal of Theoretical Physics, 34, 1165–1187.
Aerts, D., and Durt, T. (1994a). Quantum, classical and intermediate, an illustrative example, Foundations of Physics, 24, 1353–1368.
Aerts, D., and Durt, T. (1994b). Quantum, classical and intermediate: A measurement model, in Proceedings of the International Symposium on the Foundations of Modern Physics 1994, Helsinki, Finland, C. Montonen et al., eds., Editions Frontieres, Gives-sur-Yvettes, France.
Aerts, D., and D'Hooghe, B. (1996). Operator structure of a nonquantum and a nonclassical system, International Journal of Theoretical Physics, 35, 2241.
Aerts, D., Durt, T., and Van Bogaert, B. (1993a). A physical example of quantum fuzzy sets, and the classical limit, in proceedings of the International Conference on Fuzzy Sets, Liptovsky, Tatra Mountains, Mathematical Publications, 1, 5–15.
Aerts, D., Durt, T. and Van Bogaert, B. (1993b). Quantum probability, the classical limit and non-locality, in Proceedings of the International Symposium on the Foundations of Modern Physics 1992, Helsinki, Finland, T. Hyvonen, ed., World Scientific, Singapore, pp. 35–56.
Aerts, S. (1996). Conditional probabilities with a quantal and a Kolmogorovian limit, International Journal of Theoretical Physics, 35, 2201.
Piron C., (1976). Foundations of Quantum Physics, Benjamin.
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D'Hooghe, B. The Structure of the Algebra of Observables in the Intermediate Situation of the ∈-Model. International Journal of Theoretical Physics 37, 323–331 (1998). https://doi.org/10.1023/A:1026627120326
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DOI: https://doi.org/10.1023/A:1026627120326