Abdelhakim Benkrane- PhD
- Researcher at University of Ouargla
Abdelhakim Benkrane
- PhD
- Researcher at University of Ouargla
About
11
Publications
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14
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Introduction
Abdelhakim Benkrane currently works at Kasdi Merbah Ouargla University. Abdelhakim does research in Deformed Quantum Mechanics, Non-linear Optics, and Cosmology.
Current institution
Publications
Publications (11)
In this study, we investigate the thermodynamic properties of an ideal Quark-Gluon Plasma (QGP) at a vanishing chemical potential, under the influence of quantum gravitational effects, specifically incorporating the Linear-Quadratic Generalized Uncertainty Principle (LQGUP). We analyze the impact of LQGUP on key thermodynamic quantities, including...
![Chemical potential μ\documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/388475451/figure/fig3/AS:11431281315948840@1742007345918/Chemical-potential-mdocumentclass12ptminimal-usepackageamsmath_Q320.jpg)
This paper investigates the influence of position-dependent effective mass (PDM) on one-dimensional Bose-Einstein condensates (BECs) using the Von Roos approach. Both variational and numerical methods are employed to solve the underlying generalized discrete GrossPitaevskii equation. We derive analytical expressions for the energy functional and ch...
In this study, we investigate the thermodynamic properties of an ideal Quark-Gluon Plasma (QGP) at a vanishing chemical potential, under the influence of quantum gravitational effects, specifically incorporating the Linear-Quadratic Generalized Uncertainty Principle (LQGUP). We analyze the impact of LQGUP on key thermodynamic quantities, including...
Gaunt factors are fundamental in describing the interaction of free electrons with photons, playing a crucial role in astrophysical processes such as radiation transport and emission spectra. Traditional methods for computing Gaunt factors involve complex integrations and intricate mathematical formulations, often being computationally expensive an...
This paper investigates the influence of the extended uncertainty principle (EUP) and non-linearity on Bose–Einstein condensate (BEC) confined within an infinite potential well, described by a deformed one-dimensional Gross–Pitaevskii equation (GPE). Exact solutions are derived, and the impact of the EUP and the parameter of interaction g is explor...
In this paper, we study the Van der Waals black holes (the case b=0) in the anti-de Sitter space under the effect of the linear extended uncertainty principle (EUP). The analysis was undertaken using deep learning by employing physics-informed neural networks in addition to the semi-classical approach, we have calculated the thermal quantities, inc...
![Bright soliton solution: (a) ΔX vs α [equation (23)]; (b) ΔP vs α...](publication/379355653/figure/fig1/AS:11431281235106060@1712641723786/Bright-soliton-solution-a-DX-vs-a-equation-23-b-DP-vs-a-equation-24-c_Q320.jpg)
![Dark soliton solution: (a) ΔX vs α [equation (23)]; (b) ΔP vs α...](publication/379355653/figure/fig2/AS:11431281235106061@1712641723960/Dark-soliton-solution-a-DX-vs-a-equation-23-b-DP-vs-a-equation-24-c-EUP_Q320.jpg)
In this study, an analytical investigation was conducted to assess the effects of the extended uncertainty principle (EUP) on a Bose–Einstein condensate (BEC) described by the deformed one-dimensional Gross–Pitaevskii equation (GPE). Analytical solutions were derived for null potential while we used variational and numerical methods for a harmonic...
In this study, an analytical investigation was conducted to assess the effects of the extended uncertainty principle (EUP) on a Bose-Einstein condensate (BEC) described by the deformed one-dimensional Gross-Pitaevskii equation (GPE). Analytical solutions were derived for null potential, while, we used variational and numerical methods for harmonic...
In representing space-time coordinates of (2 + 1)-dimensional, we formulate the relativistic Green function path integral for a Dirac oscillator system in the context of the extended uncertainty principle (EUP). As a result, the wave functions and the corresponding spectral energies are calculated. The high-temperature thermodynamic properties of a...
![The energy En\documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/356913928/figure/fig1/AS:1131547528822785@1646793362644/The-energy-Endocumentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
![The energy En\documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/356913928/figure/fig2/AS:1131547528826896@1646793362655/The-energy-Endocumentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
![The energy En\documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/356913928/figure/fig3/AS:1131547528835075@1646793362671/The-energy-Endocumentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
![The energy En\documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/356913928/figure/fig4/AS:1131547528822787@1646793362688/The-energy-Endocumentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
![The energy En\documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/356913928/figure/fig5/AS:1131547528830977@1646793362698/The-energy-Endocumentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
The non-relativistic Feynman propagator with position dependent mass (PDM) is formulated by means to introduce the generalized infinitesimal translation operator approach. Which is similar to deformed quantum mechanics based on modified commutation relations. This latter is connected to the Feynman propagator with constant-mass by adopting the coor...
Recently, H. Benzair et al. [Mod. Phys. Lett. A 35, 2050246 (2020).] formulated in one dimension the nonrelativistic propagator for position-dependent mass (PDM) from the generalized displacement operator approach. According to the path integral formulation, we generalize this process in D-dimensional space. As a result, the wave functions are obta...
