On the Universality of the Einstein-Podolsky-Rosen Phenomenon
In  (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  Margenau and Park discussed a generalized form of the Einstein, Podolsky, Rosen paradox. In ,  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 . These authors also discussed how to generalize the EPR construction in the case when a Lie group is involved.
KeywordsOrthonormal Basis Canonical Form Composite System Null Space Spectral Decomposition
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- 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