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A Continuous Superselection Rule as a Model of Classical Measuring Apparatus in Quantum Mechanics

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Fundamental Aspects of Quantum Theory

Part of the book series: NATO ASI Series ((NSSB,volume 144))

Abstract

Simple models of continuous superselection rules with transparent physical interpretation are used to indicate that (1) a continuous super-selection rule can give rise to reduction of wave packets in quantum mechanical separation procedure (in contrast to measuring procedure) in the infinite time limit and (2) a continuous superselection rule arises when the limit of an infinite mass of a scattering center is taken. The latter is used to illustrate the Machida-Namiki model of quantum mechanical measurement. Some no-go theorems are shown.

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References

  1. H. Araki, Prog. Theoret. Phys., 64:719–730 (1980).

    MathSciNet  ADS  MATH  Google Scholar 

  2. J. Dixmier, Les algèbres d’opérateurs dans l’espace Hilbertien, 2nd ed., Gauthier-Villars, Paris, 1969.

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  3. A. Fine, Phys. Rev., D2:2783–2787 (1970).

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  4. S. Machida and M. Namiki, Prog. Theoret. Phys., 63:1457–1473 and 1833–1847 (1980).

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  5. A. Shimony, Phys. Rev., D9:2321–2323 (1974).

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  6. E. P. Wigner, Am. J. Phys., 31:6–15 (1963).

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© 1986 Plenum Press, New York

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Araki, H. (1986). A Continuous Superselection Rule as a Model of Classical Measuring Apparatus in Quantum Mechanics. In: Gorini, V., Frigerio, A. (eds) Fundamental Aspects of Quantum Theory. NATO ASI Series, vol 144. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5221-1_3

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  • DOI: https://doi.org/10.1007/978-1-4684-5221-1_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5223-5

  • Online ISBN: 978-1-4684-5221-1

  • eBook Packages: Springer Book Archive

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