Advertisement

Foundations of Physics

, Volume 21, Issue 1, pp 25–42 | Cite as

Measurement and “beables” in quantum mechanics

  • Jeffrey Bub
Part IV. Invited Papers Dedicated To John Stewart Bell

Abstract

It is argued that the measurement problem reduces to the problem of modeling quasi-classical systems in a modified quantum mechanics with superselection rules. A measurement theorem is proved, demonstrating, on the basis of a principle for selecting the quantities of a system that are determinate (i.e., have values) in a given state, that after a suitable interaction between a systemS and a quasi-classical systemM, essentially only the quantity measured in the interaction and the indicator quantity ofM are determinate. The theorem justifies interpreting the noncommutative algebra of observables of a quantum mechanical system as an algebra of “beables,” in Bell's sense.

Keywords

Quantum Mechanic Mechanical System Measurement Problem Quantum Mechanical System Superselection Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. H. Furry,Phys. Rev. 49, 393 (1936).Google Scholar
  2. 2.
    G. C. Ghirardi, A. Rimini, and T. Weber,Found. Phys. 18, 1 (1988).Google Scholar
  3. 3.
    E. G. Beltrametti and G. Cassinelli,The Logic of Quantum Mechanics (Addison-Wesley, Reasing, Massachusetts, 1981), Chap. 8.Google Scholar
  4. 4.
    K. Wan,Can. J. Phys. 58, 976 (1980).Google Scholar
  5. 5.
    S. Machida and M. Namiki, “Critical review of the theory of measurement in quantum mechanics,” and “Macroscopic nature of detecting apparatus and reduction of wave packet,” in S. Kamefuchiet al., eds.,Foundations of Quantum Mechanics in the Light of New Technology (Physical Society of Japan, Tokyo, 1984).Google Scholar
  6. 6.
    J. Bub, “A solution to the measurement problem of quantum mechanics,” in A. Fine and J. Leplin, eds.,PSA 1988, Vol. 2 (Philosophy of Sience Association, East Lansing, Michigan, 1989).Google Scholar
  7. 7.
    K. Hepp,Helv. Phys. Acta 45, 237 (1972).Google Scholar
  8. 8.
    J. S. Bell,Helv. Phys. Acta 48, 93 (1975). Reprinted in Ref. 9.Google Scholar
  9. 9.
    J. S. Bell,Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1987), p. 41.Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Jeffrey Bub
    • 1
  1. 1.Department of PhilosophyUniversity of MarylandCollege Park

Personalised recommendations