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Decoherence and Wave Function Collapse

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Abstract

The possibility of consistency between the basic quantum principles of quantum mechanics and wave function collapse is reexamined. A specific interpretation of environment is proposed for this aim and is applied to decoherence. When the organization of a measuring apparatus is taken into account, this approach leads also to an interpretation of wave function collapse, which would result in principle from the same interactions with environment as decoherence. This proposal is shown consistent with the non-separable character of quantum mechanics.

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References

  1. d’Espagnat, B.: Physics and Philosophy. Princeton University Press, Princeton (2006)

    Google Scholar 

  2. Schrödinger, E.: Naturwissenschaften 23, 807, 823, 844 (1935). Reprinted in [19]

    Article  ADS  Google Scholar 

  3. Wigner, E.P.: Interpretation of quantum mechanics, and the problem of measurement. Am. J. Phys. 31, 6 (1963). Reprinted in [19]

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Bassi, A., Ghirardi, G.C.: Phys. Lett. A 275, 373 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Ghirardi, G.C.: Sneaking at God’s Cards: Unraveling the Mysteries of Quantum Mechanics. Princeton University Press, Princeton (2004)

    Google Scholar 

  6. Zeh, H.D.: Found. Phys. 1, 69 (1970)

    Article  ADS  Google Scholar 

  7. Hepp, K., Lieb, E.H.: Helv. Phys. Acta 46, 573 (1974)

    Google Scholar 

  8. Zurek, W.H.: Phys. Rev. D 26, 1862 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  9. Caldeira, A.O., Leggett, A.J.: Physica A 121, 587 (1983)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Joos, E., Zeh, H.-D.: Z. Phys. B 59, 223 (1985)

    Article  ADS  Google Scholar 

  11. Brune, M., Hagley, E., Dreyer, J., Maître, X., Maali, A., Wunderlich, C., Raimond, J.M., Haroche, S.: Phys. Rev. Lett. 77, 4887 (1996)

    Article  ADS  Google Scholar 

  12. Omnès, R.: Interpretation of Quantum Mechanics. Princeton University Press, Princeton (1994)

    MATH  Google Scholar 

  13. Joos, E., Zeh, H.D., Kiefer, C., Giulini, D., Kupsch, K., Stamatescu, I.O.: Decoherence and the Appearance of a Classical World in Quantum Theory. Springer, Berlin (2003)

    Google Scholar 

  14. Griffiths, R.B.: J. Stat. Phys. 36, 219 (1984).

    Article  ADS  MATH  Google Scholar 

  15. Griffiths, R.B.: Consistent Quantum Mechanics. Cambridge University Press, Cambridge (2002)

    Google Scholar 

  16. Omnès, R.: J. Stat. Phys. 53, 893 (1988)

    Article  ADS  MATH  Google Scholar 

  17. Gell-Mann, M., Hartle, J.B.: In: Zurek, W.H. (ed.) Complexity, Entropy, and the Physics of Information. Addison-Wesley, Redwood City (1991)

    Google Scholar 

  18. Griffiths, R.B.: Consistent Quantum Theory. Cambridge University Press, Cambridge (2002)

    MATH  Google Scholar 

  19. Wheeler, J.A., Zurek, W.H.: Quantum Theory and Measurement. Princeton University Press, Princeton (1983)

    Google Scholar 

  20. d’Espagnat, B.: Veiled Reality. Addison-Wesley, Reading (1995)

    Google Scholar 

  21. Borel, E.: Le Hasard. Alcan, Paris (1914)

    Google Scholar 

  22. Poincaré, H.: La Science et l’Hypothèse. Dover, New York (1952). English translation by W.J. Greenstreet, Science and Hypothesis

    Google Scholar 

  23. von Neumann, J.: Mathematische Grundlagen der Quantenmechanik. Springer, Berlin (1932). English translation by R.T. Beyer, Mathematical Foundations of Quantum Mechanics. Princeton University Press (1955)

    MATH  Google Scholar 

  24. Haroche, S., Raimond, J.M.: Exploring the Quantum. Oxford University Press, London (2006)

    Book  MATH  Google Scholar 

  25. Gleason, A.M.: J. Math. Mech. 6, 885 (1957)

    MathSciNet  MATH  Google Scholar 

  26. Dirac, P.A.M.: The Principles of Quantum Mechanics. Clarendon, Oxford (1947)

    MATH  Google Scholar 

  27. Zurek, W.H.: Phys. Rev. A 76, 052110 (2007)

    Article  ADS  Google Scholar 

  28. Omnès, R.: Phys. Rev. A 65, 052119 (2002)

    Article  ADS  Google Scholar 

  29. Goldberger, M.L., Watson, K.M.: Collision Theory. Wiley, New York (1964)

    MATH  Google Scholar 

  30. Froissart, M., Goldberger, M.L., Watson, K.M.: Phys. Rev. 131, 2820 (1963)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Zurek, W.H.: Rev. Mod. Phys. 75, 715 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. Wigner, E.P.: Phys. Rev. 40, 749 (1932)

    Article  ADS  MATH  Google Scholar 

  33. Weyl, H.: Bull. Am. Math. Soc. 86, 115 (1950)

    Article  MathSciNet  Google Scholar 

  34. Hörmander, L.: The Analysis of Linear Partial Differential Operators. Springer, Berlin (1985)

    Google Scholar 

  35. Feffermann, C.: Bull. Am. Math. Soc. 9, 129 (1983)

    Article  Google Scholar 

  36. Lifshitz, E.M., Pitaevsky, L.P.: Physical Kinetics. Pergamon, Oxford (1981)

    Google Scholar 

  37. Laughlin, R.B.: A Different Universe. Basic Books/Perseus, New York (2005)

    Google Scholar 

  38. Omnès, R.: unpublished

  39. Pearle, P.: Phys. Rev. D 13, 857 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  40. Pearle, P.: Int. J. Theor. Phys. 48, 489 (1979)

    Article  MathSciNet  Google Scholar 

  41. Pearle, P.: Phys. Rev. A 39, 2277 (1989).

    Article  ADS  Google Scholar 

  42. Pearle, P.: arXiv:quant-ph/0611211

  43. Pearle, P.: arXiv:quant-ph/0611212

  44. Mott, N.F.: R. Soc. Proc. A 126, 79 (1929). Reprinted in [19]

    Article  ADS  MATH  Google Scholar 

  45. Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge (1987)

    Google Scholar 

  46. Landau, L.D., Lischitz, E.M.: Statistical Physics. Pergamon, London (1969)

    Google Scholar 

  47. Aspect, A., Grangier, P., Roger, G.: Phys. Rev. Lett. 49, 91 (1982)

    Article  ADS  Google Scholar 

  48. Aspect, A., Dalibard, P.J., Roger, G.: Phys. Rev. Lett. 49, 1804 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  49. Stepanov, A., Zbinden, H., Gisin, N., Suarez, A.: Phys. Rev. Lett. 88, 120404 (2002)

    Article  ADS  Google Scholar 

  50. Stepanov, A., Zbinden, H., Gisin, N., Suarez, A.: Phys. Rev. A 67, 042115 (2003)

    Article  ADS  Google Scholar 

Download references

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  1. Laboratoire de Physique Théorique (Unité Mixte de Recherche (CNRS) UMR 8627), Université de Paris XI, Bâtiment 210, 91405, Orsay Cedex, France

    Roland Omnès

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Correspondence to Roland Omnès.

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Omnès, R. Decoherence and Wave Function Collapse. Found Phys 41, 1857–1880 (2011). https://doi.org/10.1007/s10701-011-9588-6

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  • DOI: https://doi.org/10.1007/s10701-011-9588-6

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