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Relativistic generalized uncertainty principle

open access: yesAnnals of Physics, 2019
The Generalized Uncertainty Principle and the related minimum length are normally considered in non-relativistic Quantum Mechanics. Extending it to relativistic theories is important for having a Lorentz invariant minimum length and for testing the ...
Vasil Todorinov   +2 more
exaly   +2 more sources
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The Uncertainty Principle

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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Half-Life and the Uncertainty Principle

Problems of Information Transmission, 2023
An attempt is made to give an accurate mathematical interpretation of the energy–time uncertainty relation.
E. N. Petrova, Sergey A. Pirogov
openaire   +2 more sources

Generalized Uncertainty Principle and angular momentum

open access: yesAnnals of Physics, 2017
Various models of quantum gravity suggest a modification of the Heisenberg's Uncertainty Principle, to the so-called Generalized Uncertainty Principle, between position and momentum.
Pasquale Bosso, Saurya Das
exaly   +2 more sources

An uncertainty principle for quaternion Fourier transform [PDF]

open access: yesComputers and Mathematics With Applications, 2008
We review the quaternionic Fourier transform(QFT). Using the properties of the QFT we establish an uncertainty principle for the right-sided QFT.This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion ...
Mawardi Bahri   +2 more
exaly   +2 more sources

Uncertainty Principle on Graphs

2018
Graph Signal Processing (GSP) is a mathematical framework that aims at extending classical Fourier harmonic analysis to irregular domains described using graphs. Within this framework, authors have proposed to define operators (e.g. translations, convolutions) and processes (e.g. filtering, sampling).
Pasdeloup, Bastien   +3 more
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A Local Uncertainty Principle

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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The Uncertainty Principle in Image Processing

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1984
The uncertainty principle is recognized as one of the fundamental results in signal processing. Its role in inference is, however, less well known outside of quantum mechanics. It is the aim of this paper to provide a unified approach to the problem of uncertainty in image processing.
Roland Wilson, Gösta H. Granlund
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