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The modal interpretation of quantum mechanics and its generalization to density operators

  • Invited Papers Dedicated to Jean-Pierre Vigier
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Abstract

We generalize the modal interpretation of quantum mechanics so that it may be applied to composite systems represented by arbitrary density operators. We discuss the interpretation these density operators receive and relate this to the discussion about the interpretation of proper and improper mixtures in the standard interpretation.

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References

  1. B. d'Espagnat,Conceptual Foundations of Quantum Mechanics (Benjamin, Menlo Park, California, 1971), Sec. 6.

    Google Scholar 

  2. B. d'Espagnat, inPrecludes in Theoretical Physics, A. De-Shalit, H. Feshbach, and L. van Hove, eds. (North-Holland, Amsterdam, 1966), p. 185.

    Google Scholar 

  3. D. Dieks,Ann. Phys. 7, 174 (1988); D. Dieks,Found. Phys. 19, 1397 (1989).

    Google Scholar 

  4. D. Dieks.Phys. Rev. A 49. 2290 (1994).

    Google Scholar 

  5. R. Healey,The Philosophy of Quantum Mechanics (Cambridge University Press, Cambridge, 1989).

    Google Scholar 

  6. S. Kochen, inSymposium on the Foundations of Modern Physics, P. Lathi and P. Mittelstaedt, eds. (World Scientific, Singapore, 1985), p. 151.

    Google Scholar 

  7. B. van Fraassen, inCurrent Issues in Quantum Logic, E. Beltrametti and B. van Fraassen, eds. (Plenum, New York, 1981). p. 229.

    Google Scholar 

  8. J. von Neumann.Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955). Sec. VI.3.

    Google Scholar 

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Authors and Affiliations

  1. Foundations of Science Unit, Utrecht University, P.O. Box 80.000, 3508, TA Utrecht, The Netherlands

    Pieter E. Vermaas & Dennis Dieks

Authors
  1. Pieter E. Vermaas
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  2. Dennis Dieks
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Vermaas, P.E., Dieks, D. The modal interpretation of quantum mechanics and its generalization to density operators. Found Phys 25, 145–158 (1995). https://doi.org/10.1007/BF02054662

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  • DOI: https://doi.org/10.1007/BF02054662

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