Skip to main content
Log in

Quantum measurement in a family of hidden-variable theories

  • Published:
Foundations of Physics Letters

Abstract

The measurement process for hidden-configuration formulations of quantum mechanics is analysed. It is shown how a satisfactory description of quantum measurement can be given in this framework. The unified treatment of hidden-configuration theories, including Bohmian mechanics and Nelson's stochastic mechanics, helps in understanding the true reasons why the problem of quantum measurement can succesfully be solved within such theories.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. D. Bohm,Phys. Rev. 85 (1952), pp. 166 and 180.

    Google Scholar 

  2. E. Nelson,Phys. Rev. 150 (1966), p. 1079.

    Google Scholar 

  3. E. Nelson,Quantum Fluctuations (Princeton University Press, Princeton, 1985).

    Google Scholar 

  4. M. Davidson,Lett. Math. Phys. 3, 271 (1979).

    Google Scholar 

  5. D. Bohm and B.J. Hiley,Phys. Rep. (Review section ofPhys. Lett.)172, 93 (1989).

    Google Scholar 

  6. J.S. Bell, Cern Preprint Th 1424, 1971;Epist. Lett., July 1978, p. 1.

  7. J.S. Bell, inQuantum Gravity 2, C. Isham, R. Penrose, and D. Sciama, eds. (Clarendon Press, Oxford, 1981), p. 611.

    Google Scholar 

  8. D. Bohm and B.J. Hiley,Found. Phys. 14, 255 (1984).

    Google Scholar 

  9. D. Dürr, S. Goldstein, and N. Zanghì,J. Stat. Phys. 67, 843 (1992).

    Google Scholar 

  10. A. Rimini, inWaves and Particles in Light and Matter, A. van der Merwe and A. Garuccio, eds. (Plenum, New York, 1994), p. 603.

    Google Scholar 

  11. Ph. Blanchard, S. Golin, and M. Serva,Phys. Rev. D 34, 3732 (1986).

    Google Scholar 

  12. S. Goldstein,J. Stat. Phys. 47, 645 (1987).

    Google Scholar 

  13. Ph. Blanchard, M. Cini, and M. Serva, inIdeas and Methods in Quantum and Statistical Physics, S. Albeverio, ed. (Cambridge University Press, Cambridge, 1992).

    Google Scholar 

  14. F. Guerra, inThe Foundations of Quantum Mechanics — Historical Analysis and Open Questions, C. Garola and A. Rossi, eds. (Kluwer Academic, Dordrecht, 1995), p. 339.

    Google Scholar 

  15. E. Schrödinger,Naturwiss. 23, 844 (1935); English translation inProc. Am. Philos. Soc. 124, 323 (1980).

    Google Scholar 

  16. E.P. Wigner, inThe Scientist Speculates, I.J. Good, ed. (Basic Books, New York, 1962); reprinted in E.P. Wigner,Symmetries and Reflections (Indiana University Press, Bloomington, Indiana, 1967).

    Google Scholar 

  17. E. Joos and H.D. Zeh,Z. Phys. B 59, 223 (1985).

    Google Scholar 

  18. K. Gottfried,Quantum Mechanics (Benjamin, New York, 1966);Phys. Worlds 4 (10), 34 (1991).

    Google Scholar 

  19. O. Nicrosini and A. Rimini, inSymposium on the Foundations of Modern Physics 1990, P. Lahti and P. Mittelstaedt, eds. (World Scientific, Singapore, 1991), p. 280.

    Google Scholar 

  20. R. Griffiths,J. Stat. Phys. 36, 219 (1984).

    Google Scholar 

  21. R. Omnès,Rev. Mod. Phys. 64, 339 (1992).

    Google Scholar 

  22. M. Gell-Mann and J.B. Hartle,Phys. Rev. D 47 3345 (1993).

    Google Scholar 

  23. G.C. Ghirardi, A. Rimini, and T. Weber,Phys. Rev. D 34, 470 (1986);36, 3287 (1987).

    Google Scholar 

  24. R.P. Feynman and A.R. Hibbs,Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).

    Google Scholar 

  25. G.C. Ghirardi, C. Omero, A. Rimini, and T. Weber,Riv. Nuovo Cimento 1 (3), 1 (1978).

    Google Scholar 

  26. E.A. Carlen,Comm. Math. Phys. 94, 293 (1984).

    Google Scholar 

  27. K. Berndl, D. Dürr, S. Goldstein, G. Peruzzi, and N. Zanghì,Comm. Math. Phys. 173, 647 (1995).

    Google Scholar 

  28. T.C. Wallstrom,Phys. Rev. A 49, 1613 (1994).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by the Istituto Nazionale di Fisica Nucleare.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peruzzi, G., Rimini, A. Quantum measurement in a family of hidden-variable theories. Found Phys Lett 9, 505–519 (1996). https://doi.org/10.1007/BF02190027

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02190027

Key words

Navigation