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Stochastic quantum mechanics viewed from the language of manuals

  • Part III. Invited Papers Dedicated To The Memory Of Charles H. Randall (1928–1987)
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Abstract

The language of manuals may be used to discuss inference in measurement in a general experimental context. Specializing to the context of the frame manual for Hilbert space, this inference leads to state dominance of the inferred state from partial measurements; this in turn, by Sakai's theorem, determines observables which are described by positive operator-valued measures. Symmetries are then introduced, showing that systems of covariance, rather than systems of imprimitivity, are natural objects to study in quantum mechanics. Experiments measuring different polarization components simultaneously are reexamined in this language. Finally, implications of the Naimark extension theorem for the manual approach are investigated.

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Authors and Affiliations

  1. Department of Mathematics, Florida Atlantic University, 33431, Boca Raton, Florida

    F. E. Schroeck Jr.

  2. Department of Mathematics and Statistics, University of Massachusetts-Amherst, 01003, Amherst, Massachusetts

    D. J. Foulis

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  1. F. E. Schroeck Jr.
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  2. D. J. Foulis
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Schroeck, F.E., Foulis, D.J. Stochastic quantum mechanics viewed from the language of manuals. Found Phys 20, 823–858 (1990). https://doi.org/10.1007/BF01889693

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