The Generalized Uncertainty Principle
Sign Up to like & getrecommendations! Published in 2020 at "Annalen der Physik"
DOI: 10.1002/andp.202000335
Abstract: The 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… read more here.
Keywords: order; uncertainty principle; uncertainty relation; uncertainty ... See more keywords
An optimal uncertainty principle in twelve dimensions via modular forms
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DOI: 10.1007/s00222-019-00875-4
Abstract: We prove an optimal bound in twelve dimensions for the uncertainty principle of Bourgain, Clozel, and Kahane. Suppose $$f :\mathbb {R}^{12} \rightarrow \mathbb {R}$$f:R12→R is an integrable function that is not identically zero. Normalize its… read more here.
Keywords: uncertainty principle; uncertainty; bound; optimal uncertainty ... See more keywords
The Generalized Uncertainty Principle and the Semi-relativistic Harmonic Oscillator
Sign Up to like & getrecommendations! Published in 2019 at "Few-body Systems"
DOI: 10.1007/s00601-019-1536-6
Abstract: We study the Massless Semi-Relativistic Harmonic Oscillator within the framework of quantum mechanics with a Generalized Uncertainty Principle (GUP). The latter derives from the idea of minimal observable length, a quantity whose existence is expected… read more here.
Keywords: uncertainty principle; semi relativistic; harmonic oscillator; relativistic harmonic ... See more keywords
Fermion’s Tunneling from a Kehagias-Sfetsos Spacetime Based on Generalized Uncertainty Principle
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-019-04020-y
Abstract: In this paper, taking into account the effects of quantum-gravity, applying the modified Dirac equation in curved spacetime based on generalized uncertainty principle (GUP) close to Planck scale, we successfully investigate the quantum tunneling behavior… read more here.
Keywords: spacetime based; generalized uncertainty; based generalized; uncertainty principle ... See more keywords
Shapiro’s uncertainty principle and localization operators associated to the continuous wavelet transform
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-016-0175-7
Abstract: Quantitative Shapiro’s dispersion uncertainty principle and umbrella theorem are proved for the continuous wavelet transform. Also the localization operators associated with the continuous wavelet transform are studied. read more here.
Keywords: wavelet transform; uncertainty principle; localization operators; continuous wavelet ... See more keywords
Quantum entanglement with generalized uncertainty principle
Sign Up to like & getrecommendations! Published in 2022 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2022.115736
Abstract: DaeKil Park1,2∗ Department of Electronic Engineering, Kyungnam University, Changwon 631-701, Korea Department of Physics, Kyungnam University, Changwon 631-701, Korea Abstract We explore how the quantum entanglement is modified in the generalized uncertainty principle (GUP)-corrected quantum… read more here.
Keywords: quantum entanglement; uncertainty principle; physics; generalized uncertainty ... See more keywords
Mathematical counterpart of the heisenberg uncertainty principle
Sign Up to like & getrecommendations! Published in 2017 at "Reports on Mathematical Physics"
DOI: 10.1016/s0034-4877(17)30074-5
Abstract: In this paper we provide an exposition on integrability theorem and relation between D -modules and symplectic geometry. We prove that the characteristic ideal of a module over the Weyl algebra with Bernstein and order… read more here.
Keywords: uncertainty principle; heisenberg uncertainty; mathematical counterpart; counterpart heisenberg ... See more keywords
A COMPACT QUALITATIVE UNCERTAINTY PRINCIPLE FOR SOME NONUNIMODULAR GROUPS
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972718001119
Abstract: Let $G$ be a separable locally compact group with type $I$ left regular representation, $\widehat{G}$ its dual, $A(G)$ its Fourier algebra and $f\in A(G)$ with compact support. If $G=\mathbb{R}$ and the Fourier transform of $f$… read more here.
Keywords: uncertainty principle; principle nonunimodular; qualitative uncertainty; compact qualitative ... See more keywords
Noise-resolution uncertainty principle in classical and quantum systems
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DOI: 10.1038/s41598-020-64539-7
Abstract: We show that the width of an arbitrary function and the width of the distribution of its values cannot be made arbitrarily small simultaneously. In the case of ergodic stochastic processes, an ensuing uncertainty relationship… read more here.
Keywords: uncertainty principle; resolution uncertainty; quantum; noise resolution ... See more keywords
Uncertainty principle for the two-sided quaternion windowed Fourier transform
Sign Up to like & getrecommendations! Published in 2019 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2019.1572138
Abstract: ABSTRACT In this paper, we study the quaternion windowed Fourier transform (QWFT) and prove the Local uncertainty principle, the Logarithmic uncertainty principle and Amrein Berthier for the QWFT, the radar quaternion ambiguity function and the… read more here.
Keywords: quaternion; uncertainty principle; windowed fourier; quaternion windowed ... See more keywords
Probing the generalized uncertainty principle through quantum noises in optomechanical systems
Sign Up to like & getrecommendations! Published in 2022 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac55ab
Abstract: In this work we have considered a simple mechanical oscillator interacting with a single mode optical field inside a cavity in the generalized uncertainty principle (GUP) framework. Our aim is to calculate the modified noise… read more here.
Keywords: probing generalized; quantum; uncertainty principle; generalized uncertainty ... See more keywords