Abstract
It is argued that approximate superselection rules induced by the environment cannot account for the emergence of definite measurement results in single experiments. The reason for this is that the inaccuracy necessary for an experiment failing to distinguish between exact and approximate mixtures requires the pointer observable to be strictly classical. This is shown in the case that the observables of physical systems generateW *-algebras.
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References
Bell, J. S. (1975).Helvetica Physica Acta,48, 93–98.
Bratteli, O., and Robinson, D. W. (1987).Operator Algebras and Quantum Statistical Mechanics 1, 2nd ed., Springer, New York.
Breuer, T. (1992).Physics Letters A,168, 233.
Busch, P., Lahti, P. J., and Mittelstaedt, P. (1991).The Quantum Theory of Measurement, Springer, Berlin.
Dieks, D. (1989).Physics Letters, A,142, 439.
Glimm, J., and Kadison, R. V. (1960).Pacific Journal of Mathematics,10, 547.
Hannabus, K. C. (1984).Helvetica Physica Acta,57, 610–620.
Hepp, K. (1972).Helvetica Physica Acta 45, 237–248.
Landsman, N. P. (1991).International Journal of Modern Physics A6,30, 5349–5372.
Primas, H. (1990). The measurement process in the individual interpretation of quantum mechanics, inThe Measurement Problem of Quantum Theory, M. Cini and J. M. Lévy-Leblond, eds., IOP, Bristol, Section 2.
Zurek, W. K. (1982).Physical Review D,26, 1862–1880.
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Breuer, T. Inaccurate experiments and environment-induced superselection rules. Int J Theor Phys 32, 2253–2259 (1993). https://doi.org/10.1007/BF00672997
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DOI: https://doi.org/10.1007/BF00672997