Advertisement

Early History of Bell’s Theorem

  • John F. Clauser
Chapter

Abstract

This article is dedicated to the memory of John Bell, whose work exerted a profound influence on my own life and professional career as an experimental physicist. In this article I attempt to recount as accurately as possible the important events in the development of one of the most profound results in physics of the twentieth century — Bell’s Theorem.

Keywords

Hide Variable Local Realism Coincidence Rate Copenhagen Interpretation CHSH Inequality 
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.
    J.F. Clauser, A. Shimony: Rep. Prog. Phys. 41, 1881 (1978)ADSCrossRefGoogle Scholar
  2. 2.
    J. von Neumann: Mathematische Grundlagen der Quantenmechanik (Springer, Berlin 1932 ). English translation: Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, Princeton 1955 )Google Scholar
  3. 3.
    A. Einstein, B. Podolsky, N. Rosen: Phys. Rev. 47, 777 (1935)ADSCrossRefMATHGoogle Scholar
  4. 4.
    N. Bohr: Phys. Rev. 48, 696 (1935);ADSCrossRefMATHGoogle Scholar
  5. N. Bohr: Nature 136, 65 (1935)ADSCrossRefMATHGoogle Scholar
  6. 5.
    E. Schrödinger: Proc. Cambridge Philos. Soc. 31, 555 (1935)ADSCrossRefGoogle Scholar
  7. 6.
    W.H. Furry: Phys. Rev. 49, 393 (1936);ADSCrossRefMATHGoogle Scholar
  8. W.H. Furry: Phys. Rev. 49, 476 (1936) The second paper emphasizes the differences between his and Schrödinger’s views of this resultGoogle Scholar
  9. 7.
    A.H. Compton, A.W. Simon: Phys. Rev. 26, 289 (1925)ADSCrossRefGoogle Scholar
  10. 8.
    N. Bohr, H.A. Kramers, J.C. Slater: Philos. Mag. 47, 785 (1924)CrossRefGoogle Scholar
  11. 9.
    J.S. Bell: Speakable and Unspeakable in Quantum Mechanics (Cambridge Univ. Press, Cambridge 1987) Chapt. 18Google Scholar
  12. 10.
    J.S. Bell: Phys. World, Aug. 33–40 (1990)Google Scholar
  13. 11.
    D. Bohm: Quantum Theory ( Prentis Hall, Englewood Cliffs, NJ 1950 )Google Scholar
  14. 12.
    D. Bohm, Y. Aharonov: Phys. Rev. 108, 1070 (1957)MathSciNetADSCrossRefGoogle Scholar
  15. 13.
    C.S. Wu, I. Shaknov: Phys. Rev. 77, 136 (1950)ADSCrossRefGoogle Scholar
  16. 14.
    D. Bohm: Phys. Rev. 85, 169 (1952).ADSGoogle Scholar
  17. D. Bohm, J.P. Vigier: Phys. Rev. 96, 208 (1954)MathSciNetADSCrossRefMATHGoogle Scholar
  18. 15.
    L. de Broglie: Nonlinear Wave Mechanics (Elsevier, Amsterdam 1960) Ondes Electromagnetiques et Photons (Gauthier-Villars, Paris 1968) Introduction to the Vigier Theory of Elementary Particles ( Elsevier, Amsterdam 1963 )Google Scholar
  19. 16.
    J.S. Bell: Revs. Mod. Phys. 38, 447 (1965)ADSCrossRefGoogle Scholar
  20. 17.
    J.S. Bell: Physics 1, 195 (1964)Google Scholar
  21. 18.
    A. Peres, P. Singer: Nuovo Cimento 17, 964 (1960)CrossRefGoogle Scholar
  22. 19.
    C.A. Kocher, E.D. Commins: Phys. Rev. Lett. 18, 575 (1969)ADSCrossRefGoogle Scholar
  23. 20.
    D. Wick: The Infamous Boundary — Seven Decades of Controversy in Quantum Physics ( Birkhäuser, Boston 1995 )CrossRefGoogle Scholar
  24. 21.
    J.F. Clauser: Bull. Am. Phys. Soc. 14, 578 (1969)Google Scholar
  25. 22.
    J.F. Clauser, M.A. Horne, A. Shimony, R.A. Holt: Phys. Rev. Lett. 23, 880 (1969)ADSCrossRefGoogle Scholar
  26. 23.
    S.J. Freedman, J.F. Clauser: Phys. Rev. Lett. 28, 938 (1972)ADSCrossRefGoogle Scholar
  27. 24.
    J.F. Clauser: Phys. Rev. Lett. 36, 1223 (1976)ADSCrossRefGoogle Scholar
  28. 25.
    J.F. Clauser: Nuovo Cimento B 33, 740 (1976)ADSCrossRefGoogle Scholar
  29. 26.
    E.S. Fry, R.C. Thompson: Phys. Rev. Lett. 37, 465 (1976)ADSCrossRefGoogle Scholar
  30. 27.
    J.F. Clauser, M.A. Horne: Phys. Rev. D 10, 526–535 (1974)ADSCrossRefGoogle Scholar
  31. 28.
    J.S. Bell: Introduction to the hidden-variables question, in Foundations of Quantum Mechanics, Proceedings of the International School of Physics, “Enrico Fermi”, ed. by B. d’Espagnat (Academic, New York 1971 ) pp. 170–194Google Scholar
  32. 29.
    J.S. Bell: Science 177, 880 (1972)CrossRefGoogle Scholar
  33. 30.
    E.S. Fry, T. Walther, S. Li: Phys. Rev. A 52, 4381 (1995)MathSciNetADSCrossRefGoogle Scholar
  34. 31.
    A. Aspect, P. Grangier, G. Roger: Phys. Rev. Lett. 49, 91 (1982)ADSCrossRefGoogle Scholar
  35. 32.
    J.S. Bell: Communication at the 6th Gift Conf. Jaca, June 1975,Res Th 2053-CERNGoogle Scholar
  36. 33.
    J.S. Bell, A. Shimony, M.A. Horne, J.F. Clauser: Dialectica 39, 85 (1985)MathSciNetCrossRefGoogle Scholar
  37. 34.
    A. Shimony: Search for a Naturalistic World (Cambridge Univ. Press, Cambridge 1993); More recently, the importance of these concepts was independently rediscovered by J. Jarrett [Nous 18569 (1984)].Google Scholar
  38. 35.
    W.E. Lamb, M. Scully: in Polarization: Matière et Rayonnement (Presses Universitaires de France, Paris 1969), ed. by Société Française de PhysiqueGoogle Scholar
  39. 36.
    P.A. Franken: in Atomic Physics Proceedings of the 1st International Conference on Atomic Physics, ed. by V. Hughes et al. ( Plenum, New York 1968 ), p. 377Google Scholar
  40. 37.
    E.T. Jaynes, F.W. Cummings: Proc. IEEE 51, 89 (1963); C.R. Stroud, Jr., E.T. Jaynes: Phys. Rev. A 1, 106 (1970);CrossRefGoogle Scholar
  41. M.D. Crisp, E.T. Jaynes: Phys. Rev. 179, 1253 (1969); 185, 2046 (1969)ADSGoogle Scholar
  42. 38.
    P.A. Nesbet: Phys. Rev. A 4, 259 (1971)ADSCrossRefGoogle Scholar
  43. 39.
    J.F. Clauser: Phys. Rev. A 6, 49 (1972)ADSCrossRefGoogle Scholar
  44. 40.
    The proceedings of this conference are in L. Mandel, E. Wolf (eds.), Coherence and Quantum Optics ( Plenum Press, New York 1973 )Google Scholar
  45. 41.
    J.M. Jauch, F. Rohrlich: The Theory of Photons and Electrons ( Addison-Wesley, Reading, MA 1955 )Google Scholar
  46. 42.
    J.M. Jauch: Dialogue on the Question ARE QUANTA REAL? (Univ. of Geneva, preprint, 1971 )Google Scholar
  47. 43.
    E. Schrödinger: Physikalische Zeits. 23, 301 (1922);Google Scholar
  48. E. Schrödinger: Die Naturwissenschaften 12, 720 (1924);ADSCrossRefGoogle Scholar
  49. E. Schrödinger: Nuovo Cimento 9, 162–170 (1958)CrossRefMATHGoogle Scholar
  50. 44.
    A. Adam, L. Jânnosy, P. Varga: Acta Phys. Hung. 4, 301 (1955);CrossRefGoogle Scholar
  51. A. Adam, L. Jânnosy, P. Varga: Ann. Phys. 16, 408 (1956)Google Scholar
  52. 45.
    J.F. Clauser: Phys. Rev. D 9, 853 (1974)ADSCrossRefGoogle Scholar
  53. 46.
    P. Grangier, G. Roger, A. Aspect: Europhys. Lett. 20, 1061 (1986)Google Scholar
  54. 47.
    A. Aspect, J. Dalibard, G. Roger: Phys. Rev. Lett. 49, 1804 (1982)MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • John F. Clauser

There are no affiliations available

Personalised recommendations