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  1. Uncertainty Principle and Uncertainty Relations.J. B. M. Uffink & Jan Hilgevoord - 1985 - Foundations of Physics 15 (9):925-944.
    It is generally believed that the uncertainty relation Δq Δp≥1/2ħ, where Δq and Δp are standard deviations, is the precise mathematical expression of the uncertainty principle for position and momentum in quantum mechanics. We show that actually it is not possible to derive from this relation two central claims of the uncertainty principle, namely, the impossibility of an arbitrarily sharp specification of both position and momentum (as in the single-slit diffraction experiment), and the impossibility of the determination of the path (...)
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  • Uncertainty in Prediction and in Inference.Jan Hilgevoord & Jos Uffink - 1991 - Foundations of Physics 21 (3):323-341.
    The concepts of uncertainty in prediction and inference are introduced and illustrated using the diffraction of light as an example. The close relationship between the concepts of uncertainty in inference and resolving power is noted. A general quantitative measure of uncertainty in inference can be obtained by means of the so-called statistical distance between probability distributions. When applied to quantum mechanics, this distance leads to a measure of the distinguishability of quantum states, which essentially is the absolute value of the (...)
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