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A medical uncertainty principle
The American Journal of Gastroenterology, 2001Acquisition of diagnostic knowledge and improvement of patient health often are mutually exclusive goals. A perfect understanding of a disease process is only obtained through unrestricted testing that exposes the patient to adverse events and discomfort.
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On Erb’s uncertainty principle
Studia Mathematica, 2016Summary: We improve a result of \textit{W. Erb} [J. Approx. Theory 166, 56--77 (2013; Zbl 1435.42019)] concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.
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Remarks on Uncertainty Principles
Science, 1929Since the publication of Heisenberg’s paper1 on the “anschaulichen Inhalt” of quantum mechanics, discussions of the fundamental limitations on the accuracy of physical measurements have been much in the foreground. According to Heisenberg, the quantum mechanics implies that it is impossible to measure simultaneous values of a coordinate and its ...
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Uncertainty principle and uncertainty relations
Foundations of Physics, 1985It 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
J. B. M. Uffink, J. Hilgevoord
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Wavepackets and the Uncertainty Principle
1987The properly normalized free-particle wave function is: $$ \psi _p \left( {x,t} \right) = \frac{1} {{\sqrt {2\pi } }}\exp \left\{ {i\left( {\frac{{px}} {\hbar } - \frac{{Et}} {\hbar }} \right)} \right\} $$ (4.1) (cf. Eq. (2.18))
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Relativity and the Uncertainty Principle
Physical Review, 1932Rosen, N., Vallarta, M. S.
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