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Higher-order tensors and tests of quantum mechanics

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Abstract

We illustrate a generalization of Bell's inequality which is not limited to spin-1/2 or photon systems and does not depend on model-dependent assumptions. We then construct a specific class of examples, in terms of the decaying state and the correlated observables to be measured on the decay products, for which this inequality is violated by quantum mechanics. Finally we discuss the basic and practical problems involved in the measurement of these correlations.

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References

  1. J. S. Bell,Physics 1, 195 (1964).

    Google Scholar 

  2. D. Bohm and Y. Aharonov,Phys. Rev. 108, 1070 (1957).

    Google Scholar 

  3. N. D. Mermin,Phys. Rev. D22, 356 (1980).

    Google Scholar 

  4. J. M. Jauch, inFoundations of Quantum Mechanics, Proceedings of the International School of Physics Enrico Fermi, Course XLIX, B. D'Espagnat, Ed. (Academic Press, New York, 1971).

    Google Scholar 

  5. L. Kasday, inFoundations of Quantum Mechanics, Proceedings of the International School of Physics Enrico Fermi, Course XLIX, B. D'Espagnat, Ed. (Academic Press, New York, 1971).

    Google Scholar 

  6. A. Baracca, A. Cornia, R. Livi, and Ruffo,Nuovo Cim. 43B, 65 (1978).

    Google Scholar 

  7. F. Selleri,Lett. Nuovo Cimento 3, 14 (1972).

    Google Scholar 

  8. A. Baracca, S. Bergia, R. Livi, and M. Restignoli,Int. Journ. Theor. Phys. 15, 473 (1976).

    Google Scholar 

  9. A. Baracca, S. Bergia, F. Cannata, S. Ruffo, and M. Savoia,Int. Journ. Theor. Phys. 16, 491 (1977).

    Google Scholar 

  10. A. Peres,Am. J. Phys. 46, 745 (1978).

    Google Scholar 

  11. V. Capasso, D. Fortunato, and F. Selleri,Int. Journ. Theor. Phys. 5, 319 (1973).

    Google Scholar 

  12. J. von Neumann,Mathematical Foundations of Quantum Mechanics (Princeton University Press, New Jersey, 1955).

    Google Scholar 

  13. S. Bergia, F. Cannata, S. Ruffo, and M. Savoia,Am. J. Phys. 47 (6), 548 (1979).

    Google Scholar 

  14. S. Bergia, F. Cannata, A. Cornia, and R. Livi,Found. Phys. 10, 723 (1980).

    Google Scholar 

  15. G. G. Ohlsen,Rep. Prog. Phys. 35, 719 (1972).

    Google Scholar 

  16. A. R. Swift and R. Wright,J. Math. Phys. 21, 77 (1980).

    Google Scholar 

  17. F. A. Kaempffer,Concepts in Quantum Mechanics (Academic Press, New York, 1965).

    Google Scholar 

  18. N. F. Mott and H. S. W. Massey,The Theory of Atomic Collisions (Clarendon Press, Oxford), ch. 9.

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Authors and Affiliations

  1. Istituto di Fisica dell'Università, Bologna, Italy

    S. Bergia & F. Cannata

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Italy

    S. Bergia & F. Cannata

Authors
  1. S. Bergia
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  2. F. Cannata
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Bergia, S., Cannata, F. Higher-order tensors and tests of quantum mechanics. Found Phys 12, 843–859 (1982). https://doi.org/10.1007/BF01884996

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  • DOI: https://doi.org/10.1007/BF01884996

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