[HTML][HTML] 30 years in: Quo vadis generalized uncertainty principle?

P Bosso, GG Luciano, L Petruzziello… - Classical and Quantum …, 2023 - iopscience.iop.org
According to a number of arguments in quantum gravity, both model-dependent and model-
independent, Heisenberg's uncertainty principle is modified when approaching the Planck …

[HTML][HTML] Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential

CO Edet, PO Okoi, SO Chima - Revista Brasileira de Ensino de Física, 2019 - SciELO Brasil
This study presents the solutions of Schrödinger equation for the Non-Central Generalized
Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial …

Impact of the generalized uncertainty principle on the thermodynamic characteristics of Schwarzschild black hole veiled with quintessence matter

H Barman, SK Jha, A Rahaman - The European Physical Journal Plus, 2022 - Springer
We conduct an analysis to examine the thermodynamic character of a Schwarzschild black
hole surrounded by quintessence matter under a generalized Heisenberg algebra with a …

[HTML][HTML] Alternative solution of the gamma-rigid Bohr Hamiltonian in minimal length formalism

M Alimohammadi, H Hassanabadi - Nuclear Physics A, 2017 - Elsevier
Abstract The Bohr–Mottelson Hamiltonian on γ-rigid regime has been extended to the
minimal length formalism for the infinite square well potential and the corresponding wave …

Dirac equation in the presence of minimal uncertainty in momentum

B Hamil, M Merad - Few-Body Systems, 2019 - Springer
In this paper, we have studied the influence of minimal uncertainty in momentum on three
and two-dimensional Dirac oscillator. For the first case, the calculation is carried out …

[HTML][HTML] On some quantum correction to the Coulomb potential in generalized uncertainty principle approach

M Baradaran, LM Nieto, S Zarrinkamar - Physics Letters B, 2024 - Elsevier
Taking into account the importance of the unified theory of quantum mechanics and gravity,
and the existence of a minimal length of the order of the Planck scale, we consider a …

[HTML][HTML] Schrödinger equation and resonant scattering in the presence of a minimal length

S Haouat - Physics Letters B, 2014 - Elsevier
In this work we have studied the consequences of the minimal length, which arises in many
theories of quantum gravity, on the Scattering of a point particle by a spherically symmetric …

Modified uncertainty relations from classical and quantum gravity

F Wagner - arXiv preprint arXiv:2210.05281, 2022 - arxiv.org
A good hundred years after the necessity for a quantum theory of gravity was acknowledged
by Albert Einstein, the search for it continues to be an ongoing endeavour. Nevertheless, the …

[HTML][HTML] On generalized quantum scattering theory: Rayleigh scattering and Thomson scattering with a minimal length

FJ Twagirayezu - Physics Letters A, 2021 - Elsevier
In the quantum mechanical approach we study the minimal length effect on Rayleigh
scattering and Thomson scattering. We modify the usual Hamiltonian for the motion of an …

On magnetic monopole and Dirac quantization condition in the minimal length formalism

FJ Twagirayezu - Canadian Journal of Physics, 2022 - cdnsciencepub.com
In this article, we study the effects of minimal length corrections on the cyclotron acceleration
and radiation of a charged particle moving in a magnetic monopole field. Using the modified …