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Superposition states through correlations of the second kind

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Abstract

We introduce model systems, embedded in R2, for joint systems consisting of two entangled spin-1/2 entities in superposition states: one in a symmetric superposition state, one in an antisymmetric superposition state. We study these model systems and compare them with a model system for a spin-1 quantum entity. All this leads to a new way of looking at the tensor product of Hilbert spaces within the context of quantum mechanics, and thus also to a new approach for the description of joint systems in quantum mechanics.

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References

  • Aaberge, T. (1994). On the size of the state-space for systems of quantum particles with spin,Helvetica Physica Acta,67, 127.

    MATH  MathSciNet  Google Scholar 

  • Aerts, D. (1981). The one and the many, Doctoral Dissertation, Free University of Brussels.

  • Aerts, D. (1991). A mechanistic classical laboratory situation violating the Bell inequalities exactly ‘in the same way’ as its violations by the EPR experiments,Helvetica Physica Acta,64, 1.

    MathSciNet  Google Scholar 

  • Aerts, D. (1994). Quantum structures, separated physical entities and probability,Foundations of Physics,24, 1227.

    ADS  MathSciNet  Google Scholar 

  • Coecke, B. (1995a). Representation of a spin-1 entity as a joint system of two spin-1/2 entities on which we introduce correlations of the second kind,Helvetica Physica Acta,68, 396.

    MATH  MathSciNet  Google Scholar 

  • Coecke, B. (1995b). Hidden measurement systems, Doctoral Dissertation, Free University of Brussels.

  • Piron, C. (1976).Foundations of Quantum Physics, Benjamin, New York.

    Google Scholar 

  • Piron, C. (1990).Mechanique Quantique, Presses Polytechnique et Universitaires Romandes, Lausanne.

    Google Scholar 

  • Van Fraassen, B. C. (1991).Quantum Mechanics, Clarendon Press, Oxford.

    Google Scholar 

  • Wigner, E. P. (1959).Group Theory and its Applications to the Quantum Mechanics of Atomic Spectra, Academic Press, New York.

    Google Scholar 

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Authors and Affiliations

  1. TENA-CLEA, Free University of Brussels, Pleinlaan 2, B-1050, Brussels, Belgium

    Bob Coecke

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  1. Bob Coecke
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Coecke, B. Superposition states through correlations of the second kind. Int J Theor Phys 35, 2339–2351 (1996). https://doi.org/10.1007/BF02302451

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  • DOI: https://doi.org/10.1007/BF02302451

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