On the Universality of the Einstein-Podolsky-Rosen Phenomenon

  • Luigi Accardi
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 294)


In [4] (chap. 6) von Neumann deduced a canonical form for the states of a quantum system composite of two sub-systems, but he did not discuss the uniqueness of this representation. In [3] Margenau and Park discussed a generalized form of the Einstein, Podolsky, Rosen paradox. In [1], [2] Baracca, Bergia, Can-nata, Ruffo and Savoia remarked that von Neumann’s theorem might be interpreted as describing a generalized EPR type situation. In fact, the statement of von Neumann’s theorem can be expressed by saying that any state of a composite system can be written in the form discussed by Margenau and Park in [3]. These authors also discussed how to generalize the EPR construction in the case when a Lie group is involved.


Orthonormal Basis Canonical Form Composite System Null Space Spectral Decomposition 
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  1. Baracca A., Bergia S., Cannata F., Ruffo S., Savoia M. Int. J. Theor. Phys. 16(1977)491CrossRefGoogle Scholar
  2. Bergia S., Cannata F., Russo S., Savoia M. Group theoretical interpretation of von Neumann’s theorem on composite systems. Am. Journ. of Phys. 47(1979)548–552ADSCrossRefGoogle Scholar
  3. Margenau H., Park J.L. The logic of noncommutability of quantum mechanical operators and its empirical consequences. in: “Perspectives in quantum theory” W. Yourgrau and A. van der Merwe (ed.) Dover (1971)Google Scholar
  4. von Neumann J. Mathematical foundations of quantum mechanics. Princeton University Press 1955MATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1987

Authors and Affiliations

  • Luigi Accardi
    • 1
  1. 1.Princeton UniversityNew JerseyUSA

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