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Quantum theory of measurement and the polar decomposition of an interaction

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Abstract

The measurement-theoretic content of the polar decomposition of an interaction is analyzed. It is shown that the polar decomposition arises exactly from the strong correlation premeasurement of a discrete physical quantity.

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References

  • Beltrametti, E., and Cassinelli, G. (1981).The Logic of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Beltrametti, E., Cassinelli, G., and Lahti, P. (1990). Unitary measurements of discrete quantities in quantum mechanics,Journal of Mathematical Physics,31, 91–98.

    Google Scholar 

  • Busch, P., and Lahti, P. (1990). Completely positive mappings in quantum dynamics and measurement theory,Foundations of Physics,20, in print.

  • Goernitz, Th., and von Weizsäcker, C. (1987a). Quantum interpretations,International Journal of Theoretical Physics,26, 921–937.

    Google Scholar 

  • Goernitz, Th., and von Weizsäcker, C. (1987b). Remarks on S. Kochen's interpretation of quantum mechanics, inSymposium on the Foundations of Modern Physics 1987, P. Lahti and P. Mittelstaedt, eds., World Scientific, Singapore, pp. 357–368.

    Google Scholar 

  • Hadjisavvas, N. (1981). Properties of mixtures on non-orthogonal states,Letters in Mathematical Physics,5, 327–332.

    Google Scholar 

  • Kochen, S. (1985). A new interpretation of quantum mechanics, inSymposium on the Foundations of Modern Physics 1985, P. Lahti and P. Mittelstaedt, eds., World Scientific, Singapore, pp. 151–169.

    Google Scholar 

  • Kochen, S. (1988a). Identical particles, Preprint, Department of Mathematics, Princeton University.

  • Kochen, S. (1988b). Private communication.

  • London, F., and Bauer, E. (1983). The theory of observation in quantum mechanics, inQuantum Theory of Measurement, J. Wheeler and W. Zurek, eds., Princeton University Press, Princeton, New Jersey, pp. 217–259.

    Google Scholar 

  • Mittelstaedt, P. (1976).Philosophische Probleme der Modernen Physik, B. I. Mannhein.

  • von Neumann, J. (1955).Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

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

    Google Scholar 

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Lahti, P.J. Quantum theory of measurement and the polar decomposition of an interaction. Int J Theor Phys 29, 339–350 (1990). https://doi.org/10.1007/BF00674435

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  • DOI: https://doi.org/10.1007/BF00674435

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