Results 281 to 290 of about 1,213,467 (327)
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Nature, 1949
MR. W. L. COWLEY1 raises a point of some importance to a popular presentation of quantum theory. The understanding of the Uncertainty Principle is confused by there being two quite distinct ideas associated with the one name. Mr. Cowley's discussion of Heisenberg's uncertainty principle relates to the form of it which could be derived from the old ...
H V, STOPES-ROE, W L, COWLEY
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MR. W. L. COWLEY1 raises a point of some importance to a popular presentation of quantum theory. The understanding of the Uncertainty Principle is confused by there being two quite distinct ideas associated with the one name. Mr. Cowley's discussion of Heisenberg's uncertainty principle relates to the form of it which could be derived from the old ...
H V, STOPES-ROE, W L, COWLEY
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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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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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SIAM Journal on Mathematical Analysis, 1984
On estime, à l'aide de certaines normes locales, la différence \(\hat f\)-ĝ des transformées de Fourier des fonctions f et g, f étant à support compact. Ceci permet la construction d'approximations locales effectives de \(\hat g\) par de telles fonctions \(\hat f\), tandis que le principe d'incertitude ne donne que des approximations globales.
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On estime, à l'aide de certaines normes locales, la différence \(\hat f\)-ĝ des transformées de Fourier des fonctions f et g, f étant à support compact. Ceci permet la construction d'approximations locales effectives de \(\hat g\) par de telles fonctions \(\hat f\), tandis que le principe d'incertitude ne donne que des approximations globales.
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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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