An operational approach to quantum probability View Full Text


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Article Info

DATE

1970-09

AUTHORS

E. B. Davies, J. T. Lewis

ABSTRACT

In order to provide a mathmatical framework for the process of making repeated measurements on continuous observables in a statistical system we make a mathematical definition of an instrument, a concept which generalises that of an observable and that of an operation. It is then possible to develop such notions as joint and conditional probabilities without any of the commutation conditions needed in the approach via observables. One of the crucial notions is that of repeatability which we show is implicitly assumed in most of the axiomatic treatments of quantum mechanics, but whose abandonment leads to a much more flexible approach to measurement theory. More... »

PAGES

239-260

References to SciGraph publications

  • 1960. Norm Ideals of Completely Continuous Operators in NONE
  • 1968-06. Baser*-semigroups and the logic of quantum mechanics in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1969-12. Quantum stochastic processes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01647093

    DOI

    http://dx.doi.org/10.1007/bf01647093

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1028962589


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