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Fractional Fourier Transform: Main Properties and Inequalities
Mathematics, 2023 The fractional Fourier transform is a natural generalization of the Fourier transform. In this work, we recall the definition of the fractional Fourier transform and its relation to the conventional Fourier transform.
Mawardi Bahri +1 more
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The Generalized Uncertainty Principle [PDF]
Annalen der Physik, 2020 AbstractThe uncertainty principle lies at the heart of quantum physics, and is widely thought of as a fundamental limit of the measurement precision of incompatible observables. Here it is shown that the traditional uncertainty relation in fact belongs to the leading order approximation of a generalized uncertainty relation.
Jun‐Li Li, Cong‐Feng Qiao
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Quantum entanglement with generalized uncertainty principle
Nuclear Physics B, 2022 We explore how the quantum entanglement is modified in the generalized uncertainty principle (GUP)-corrected quantum mechanics by introducing the coupled harmonic oscillator system.
DaeKil Park
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‘Uncertainty’ principle in two fluid–mechanics [PDF]
ESAIM: Proceedings and Surveys, 2020 Hamilton’s principle (or principle of stationary action) is one of the basic modelling tools in finite-degree-of-freedom mechanics. It states that the reversible motion of mechanical systems is completely determined by the corresponding Lagrangian which ...
Gavrilyuk Sergey
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Generalized uncertainty principle and burning stars
Frontiers in Astronomy and Space Sciences, 2022 Gamow’s theory of the implications of quantum tunneling for star burning has two cornerstones: quantum mechanics and the equipartition theorem. It has been proposed that both of these foundations are affected by the existence of a non-zero minimum length,
H. Moradpour +3 more
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Asymptotic generalized extended uncertainty principle
European Physical Journal C: Particles and Fields, 2020 We present a formalism which allows for the perturbative derivation of the Extended Uncertainty Principle (EUP) for arbitrary spatial curvature models and observers.
Mariusz P. Da̧browski, Fabian Wagner
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Tsallis statistics and generalized uncertainty principle
European Physical Journal C: Particles and Fields, 2021 It has been argued that non-Gaussian statistics provide a natural framework to investigate semiclassical effects in the context of Planck-scale deformations of the Heisenberg uncertainty relation.
Giuseppe Gaetano Luciano
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Hawking radiation under generalized uncertainty principle
European Physical Journal C: Particles and Fields, 2023 The generalized uncertainty relation is expected to be an essential element in a theory of quantum gravity. In this work, we examine its effect on the Hawking radiation of a Schwarzschild black hole formed from collapse by incorporating a minimal ...
Tin-Long Chau +4 more
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Generalised uncertainty relations from finite-accuracy measurements
Frontiers in Astronomy and Space Sciences, 2023 In this short note we show how the Generalised Uncertainty Principle (GUP) and the Extended Uncertainty Principle (EUP), two of the most common generalised uncertainty relations proposed in the quantum gravity literature, can be derived within the ...
Matthew J. Lake +8 more
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The uncertainty principle [PDF]
Nature, 2004 Sociologist Ray Oldenburg believes that everyone needs three places: home, work and a 'third place'. In the United States, the third place is, increasingly, the coffee shop. In Britain, it is without doubt the pub. And in Finland, it's the sauna, as I learned the other month while visiting the country.
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