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  1.  38
    Jan Hilgevoord & David Atkinson (2011). Time in Quantum Mechanics. In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. OUP Oxford
    Time is often said to play in quantum mechanics an essentially different role from position: whereas position is represented by a Hermitian operator, time is represented by a c-number. This discrepancy has been found puzzling and has given rise to a vast literature and many efforts at a solution. In this paper it is argued that the discrepancy is only apparent and that there is nothing in the formalism of quantum mechanics that forces us to treat position and time differently. (...)
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  2. Jan Hilgevoord & Jos Uffink, The Uncertainty Principle.
    Quantum mechanics is generally regarded as the physical theory that is our best candidate for a fundamental and universal description of the physical world. The conceptual framework employed by this theory differs drastically from that of classical physics. Indeed, the transition from classical to quantum physics marks a genuine revolution in our understanding of the physical world.
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  3.  20
    Jan Hilgevoord & David Atkinson (2011). Time in Quantum Mechanics. In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. OUP Oxford
    Time is often said to play in quantum mechanics an essentially different role from position: whereas position is represented by a Hermitian operator, time is represented by a c-number. This discrepancy has been found puzzling and has given rise to a vast literature and many efforts at a solution. In this paper it is argued that the discrepancy is only apparent and that there is nothing in the formalism of quantum mechanics that forces us to treat position and time differently. (...)
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  4. Jan Hilgevoord (2005). Time in Quantum Mechanics: A Story of Confusion. Studies in History and Philosophy of Science Part B 36 (1):29-60.
  5.  27
    J. B. M. Uffink & Jan Hilgevoord (1985). Uncertainty Principle and Uncertainty Relations. 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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  6.  89
    Jan Hilgevoord (2005). Erratum to “Time in Quantum Mechanics: A Story of Confusion” [Studies in History and Philosophy of Modern Physics 36(1) (2005) 29–60]. [REVIEW] Studies in History and Philosophy of Science Part B 36 (2):413-.
  7.  19
    Jan Hilgevoord & Jos Uffink (1991). Uncertainty in Prediction and in Inference. 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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  8. Jan Hilgevoord (2005). Time in Quantum Mechanics: A Story of Confusion. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):29-60.
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  9.  4
    Jan Hilgevoord (2005). Erratum to “Time in Quantum Mechanics: A Story of Confusion” [Studies in History and Philosophy of Modern Physics 36 29–60]. [REVIEW] Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (2):413.
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