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Dirac's superposition of pure states extended to the statistical operators

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Abstract

A definition of superposition relation for the statistical operators is proposed which is equivalent to the one of Varadarajan. It is found that the superposition relation is preserved under a general linear dynamics and under tensor product.

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References

  • Berzi, V., and Zecca, A. (1974).Communications in Mathematical Physics,35, 93.

    Google Scholar 

  • Birkhoff, B. (1967).Lattice Theory. American Mathematical Society, Providence, Rhode Island.

    Google Scholar 

  • Davies, E. B. (1974).Communications in Mathematical Physics,39, 91.

    Google Scholar 

  • Dirac, P. A. M. (1947).The Principles of Quantum Mechanics Clarendon Press, Oxford.

    Google Scholar 

  • Frigerio, A., Gorini, V., Kossakowski, A., Sudarshan, E. C. G., and Verri M. (1978).Reports in Mathematical Physics,13, 149.

    Google Scholar 

  • Gleason, A. M. (1957).Journal of Mathematics and Mechanics,6, 885.

    Google Scholar 

  • Gorini, V. Zecca, A. (1975).Journal of Mathematical Physics,16, 667.

    Google Scholar 

  • Haake F. (1960). inSpringer Tracts in Modern Physics. Springer Verlag, Berlin.

    Google Scholar 

  • Hepp, K., and Lieb, E. (1973).Helvetica Physica Acta,46, 573.

    Google Scholar 

  • Lanz, L. Lugiato, L., Ramella, G. (1971).Physica,54, 94.

    Google Scholar 

  • Reed, M., and Simon, B. (1972).Methods of Modern Mathematical Physics. Academic Press, New York.

    Google Scholar 

  • Varadarajan, V. S. (1968).Geometry of Quantum Theory. Van Nostrand, Princeton.

    Google Scholar 

  • Zecca, A. (1976).International Journal of Theoretical Physics,15, 785.

    Google Scholar 

  • Zecca, A. (1980).The Superposition of the States and the Logic Approach to Quantum Mechanics, Milano IFUM 229/FT,International Journal of Theoretical Physics (to be published).

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Authors and Affiliations

  1. Istituto di Scienze Fisiche dell'Universita, Via Celoria, 16, Milano

    Antonio Zecca

  2. Istituto Nazionale di Fisica Nucleare, Sez. di Milano, Italy

    Antonio Zecca

Authors
  1. Antonio Zecca
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Zecca, A. Dirac's superposition of pure states extended to the statistical operators. Int J Theor Phys 19, 629–634 (1980). https://doi.org/10.1007/BF00670399

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  • DOI: https://doi.org/10.1007/BF00670399

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