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Collapse Miscellany

  • Philip PearleEmail author

Abstract

An introduction to the CSL (Continuous Spontaneous Localization) theory of dynamical wave function collapse is provided, including a derivation of CSL from two postulates, a new result. There follows a review of applications to a free particle, or to a ‘small’ rigid cluster of free particles, in a single wave-packet and in interfering packets: the latter result is new. [Editors note: for a video of the talk given by Prof. Pearle at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-11.]

Keywords

Density Matrix State Vector Wave Packet Probability Rule Born 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.

References

  1. 1.
    W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, New York, 1950). Chap. 14 zbMATHGoogle Scholar
  2. 2.
    P. Pearle, Found. Phys. 12, 249 (1982) MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    P. Pearle, Phys. Rev. A 39, 2277 (1989) ADSCrossRefGoogle Scholar
  4. 4.
    P. Pearle, Phys. Rev. D 13, 857 (1976) MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    G. Lindblad, Commun. Math. Phys. 48, 119 (1976) MathSciNetADSCrossRefzbMATHGoogle Scholar
  6. 6.
    V. Gorini, A. Kossakowski, E.C.G. Sudarshan, J. Math. Phys. 17, 821 (1976) MathSciNetADSCrossRefGoogle Scholar
  7. 7.
    P. Pearle, Eur. J. Phys. 33, 805 (2012) CrossRefzbMATHGoogle Scholar
  8. 8.
    Ł.D. Carson, W.R. Miles, S.S. Stevens, Vision, hearing and aeronautical design. Sci. Mon. 56, 446 (1943) ADSGoogle Scholar
  9. 9.
    G.C. Ghirardi, P. Pearle, A. Rimini, Phys. Rev. A 42, 78 (1990) MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    P. Pearle, E. Squires, Phys. Rev. Lett. 73, 1 (1994) ADSCrossRefGoogle Scholar
  11. 11.
    B. Collett, P. Pearle, F. Avignone, S. Nussinov, Found. Phys. 25, 1399 (1995) ADSCrossRefGoogle Scholar
  12. 12.
    P. Pearle, J. Ring, J.I. Collar, F.T. Avignone, Found. Phys. 29, 465 (1999) CrossRefGoogle Scholar
  13. 13.
    G. Jones, P. Pearle, J. Ring, Found. Phys. 34, 1467 (2004) ADSCrossRefGoogle Scholar
  14. 14.
    W. Feldmann, R. Tumulka, J. Phys. A, Math. Theor. 45, 065304 (2012) MathSciNetADSCrossRefGoogle Scholar
  15. 15.
    G.C. Ghirardi, A. Rimini, T. Weber, Phys. Rev. D 34, 470 (1986) MathSciNetADSCrossRefzbMATHGoogle Scholar
  16. 16.
    G.C. Ghirardi, A. Rimini, T. Weber, Phys. Rev. D 36, 3287 (1987) MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    G.C. Ghirardi, A. Rimini, T. Weber, Found. Phys. 18, 1 (1988) MathSciNetADSCrossRefGoogle Scholar
  18. 18.
    S.L. Adler, J. Phys. A 40, 2935 (2007) MathSciNetADSCrossRefzbMATHGoogle Scholar
  19. 19.
    P. Pearle, Phys. Rev. A 72, 022112 (2005) MathSciNetADSCrossRefGoogle Scholar
  20. 20.
    P. Pearle, Phys. Rev. A 71, 032101 (2005) MathSciNetADSCrossRefGoogle Scholar
  21. 21.
    P. Pearle, in Sixty-Two Years of Uncertainty, ed. by A. Miller (Plenum, New York, 1990), p. 193 CrossRefGoogle Scholar
  22. 22.
    G.C. Ghirardi, R. Grassi, P. Pearle, Found. Phys. 20, 1271 (1990) MathSciNetADSCrossRefGoogle Scholar
  23. 23.
    P. Pearle, Phys. Rev. A 59, 80 (1999) MathSciNetADSCrossRefGoogle Scholar
  24. 24.
    O. Nicrosini, A. Rimini, Found. Phys. 33, 1061 (2003) MathSciNetCrossRefGoogle Scholar
  25. 25.
    D.J. Bedingham, Found. Phys. 41, 686 (2010) MathSciNetADSCrossRefGoogle Scholar
  26. 26.
    Y. Aharonov, D. Rohrlich, Quantum Paradoxes (Wiley, Weinheim, 2005). Chap. 5 CrossRefzbMATHGoogle Scholar
  27. 27.
    L. Diosi, Phys. Rev. A 40, 1165 (1989) ADSCrossRefGoogle Scholar
  28. 28.
    B. Collett, P. Pearle, Found. Phys. 33, 1495 (2003). Appendix B, pp. 1524–1529 MathSciNetCrossRefGoogle Scholar
  29. 29.
    A. Bassi, J. Phys. A, Math. Gen. 38, 3173 (2005) MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Italia 2014

Authors and Affiliations

  1. 1.Department of PhysicsHamilton CollegeClintonUSA

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