# Bouzenada AbdelmalekIndependent Researcher

Bouzenada Abdelmalek

Doctor in Physics

WhattsAp Number:
+213664679917

## About

57

Publications

14,606

Reads

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114

Citations

Introduction

I am deeply immersed in a diverse range of specialties within physics and mathematical physics, including quantum mechanics spanning both relativistic and non-relativistic domains, quantum field theory, path integral methods, mathematical physics encompassing topics like q-deformed algebra and quantum groups, computational physics, solid-state physics, and the applications of fractional derivatives and orthogonal polynomials in various branches of physics.

## Publications

Publications (57)

In this paper we are study the one‐dimensional harmonic oscillator in the base case. Then we use fractional derivatives to
formulate the general expression for the one‐dimensional harmonic oscillator. Finally, we want to compare the two systems in the
presence and absence of fractional derivatives.

In this paper, we are studying the one-dimensional harmonic oscillator in the base case. then
we use fractional derivatives to formulate the general expression for the one-dimensional
harmonic oscillator .finally, we want to compare the two systems in the presence and
absence of fractional derivatives, we are using the Hermite function in this appr...

In this paper, we are studying the one-dimensional harmonic oscillator in the base case. then we use fractional derivatives to formulate the general expression for the one-dimensional
harmonic oscillator .finally, we want to compare the two systems in the presence and absence of fractional derivatives, we are using the Hermite function in this appr...

In this paper, we study the Hermite function in the original derivative and deformed all
relations in complex numbers space, and get the integral formulas for it by estimating its applications in mathematical physics models.

In this paper, we studied the influence of the energy-dependent potential of the
one-dimensional harmonic oscillator in both relativistic and non-relativistic cases. The effect of the modified scalar product has been tested in the case of the Fisher Parameter in a non-relativistic case. we used a Hermite function and integral relation.

We explore a cylindrical black hole (BH) introduced by Lemos (Phys. Lett. {\bf B 353}, 46 (1995)), in the context of modified gravity theories. Specifically, we focus on Ricci-Inverse ($\mathcal{RI}$) and $f(\mathcal{R})$-gravity theories and investigate Lemos black hole (LBH). To achieve this, we consider different classes of models in Ricci-Inver...

We study the Schrödinger wave equation with an exponential potential in the context of a point-like global monopole. This exponential potential is composed of a generalized
-deformed Hulthen potential and a Yukawa-type potential. We incorporate the Greene–Aldrich approximation scheme to handle the centrifugal and other terms and obtain an approxim...

In this paper, we investigate Klein-Gordon scalar particles featuring a position-dependent mass within the framework of a cosmological space-time, specifically a four-dimensional Bonnor-Melvin magnetic solution incorporating a cosmological constant. The radial wave equation for the scalar multiplier $m=m(r)$ is derived utilizing an appropriate wave...

In this paper, we explore stationary BTZ space-time within the framework of modified gravity theory, specifically focusing on Ricci-inverse gravity. It is important to clarify that ``Ricci-inverse" refers to the inverse of the Ricci tensor, not the Ricci scalar. We consider a general class of this gravity theory, where the function $f$ is defined b...

In this paper, we explore the relativistic quantum motion of spin-zero scalar charge-free particles influenced by rainbow gravity’s (RG’s) in Bonnor–Melvin magnetic space-time, a four-dimensional solution featuring a positive cosmological constant. We solve the Klein–Gordon equation in this scenario by using two sets of rainbow function: (i) $$f(\c...

In this paper, we employ the Generalized Feshbach-Villars transformation (GFVT) to investigate the relativistic quantum dynamics of spin-0 scalar particles within the backdrop of a magnetic universe characterized by the Bonnor-Melvin cosmological space-time, which exhibits a geometrical topology resulting in an angular deficit. We derive the radial...

This paper addresses the problem of a three-dimensional Klein-Gordon oscillator with position-dependent mass in a non-inertial cosmic string background. We provide solutions to this problem and analyze the eigensolutions, considering the influence of non-inertial effects and the presence of position-dependent mass (PDM) on the eigenvalues. Expressi...

This paper explores the dynamics of the Klein-Gordon oscillator in the presence of a cosmic string in Som-Raychaudhuri spacetime. The exact solutions for the free and oscillator cases are obtained and discussed. These solutions reveal the effects of the cosmic string and spacetime geometry on the bosonic particles. To illustrate these results, seve...

We investigate the quantum dynamics of a harmonic oscillator (HO) system within the framework of topo-logically charged Eddington-inspired Born-Infeld (EiBI) gravity space-time. Additionally, we incorporate the Wu-Yang magnetic monopole (WYMM) into the quantum system and analyze the influences of modified gravity , the topological charge, and WYMM...

This study is centered on examining the behavior of quantum particles governed by the Schrödinger equation, particularly when subjected to a trigonometric Pöschl-Teller potential within the context of a topological defect environment. We set out to derive the radial wave equation and employ the Nikiforov-Uvarov method to solve it and present the ei...

In this paper, we study the relativistic dynamics of quantum oscillator fields within the context of a position-dependent mass (PDM) system in the background of a curved space-time. The chosen curved space-time is generated by a magnetic field incorporating a non-zero cosmological constant called Einstein–Maxwell–Lambda solution. To analyze PDM qua...

In this paper, we investigate how the gravitational field generated by a four-dimensional electrovacuum cosmological space-time influences the dynamics of fermionic fields governed by the Dirac equation, while also considering the effects of topology. We derive the radial wave equation corresponding to the relativistic Dirac equation and subsequent...

In this study, our primary focus is on exploring the relativistic quantum dynamics of spin-zero scalar particles in a magnetic space-time background. Our investigation revolves around solving the Klein–Gordon (KG) equation within the framework of an electrovacuum space-time, while incorporating an external scalar potential. Specifically, we conside...

In this paper, we conduct a comprehensive exploration of the relativistic quantum dynamics of spin-0 scalar particles, as described by the Duffin–Kemmer–Petiau (DKP) equation, within the framework of a magnetic space-time. Our focus is on the Bonnor–Melvin–Lambda (BML) solution, a four-dimensional magnetic universe characterized by a magnetic field...

In our investigation, we explore the quantum dynamics of charge-free scalar particles through the Klein-Gordon equation within the framework of rainbow gravity's, considering the Bonnor-Melvin-Lambda (BML) space-time background. The BML solution is characterized by the magnetic field strength along the axis of symmetry direction which is related wi...

In this paper, our focus is on investigating the impact of cosmological constant on relativistic quantum systems comprising spin-0 scalar particles. Our analysis centers around the Klein-Gordon equation, and we obtain both approximate and exact analytical solutions for spin-0 particles of the quantum system. Afterwards, we explore quantum oscillato...

In this analysis, we study the dynamics of quantum oscillator fields within the context of a position-dependent mass (PDM) system situated in an Einstein-Maxwell space-time, incorporating a non-zero cosmological constant. The magnetic field is aligned along the symmetry axis direction. To analyze PDM quantum oscillator fields, we introduce a modifi...

In this paper, we conduct a comprehensive exploration of the relativistic quantum dynamics of spin-0 scalar particles, as described by the Duffin-Kemmer-Petiau (DKP) equation, within the framework of a magnetic space-time. Our focus is on the Bonnor-Melvin-Lambda (BML) solution, a four-dimensional magnetic universe characterized by a magnetic field...

In this paper, our focus is on investigating the impact of cosmological constant on relativistic quantum systems comprising spin-0 scalar particles. Our analysis centers around the Klein-Gordon equation, and we obtain both approximate and exact analytical solutions for spin-0 particles of the quantum system. Afterwards, we explore quantum oscillato...

In our investigation, we explore the quantum dynamics of charge-free scalar Bosons within the framework of rainbow gravity, considering the Bonnor-Melvin-Lambda (BML) space-time. The BML solution is characterized by the magnetic field strength along the axis of symmetry direction. The behavior of charge-free scalar Bosons is described by the Klein-...

In this paper, we explore the relativistic quantum motion of spin-zero scalar particles influenced by rainbow gravity's in the background of a magnetic solution. Our focus is on the Bonnor-Melvin magnetic space-time, a four-dimensional solution featuring a non-zero cosmo-logical constant. To analyze this scenario, we solve the Klein-Gordon equation...

This research focus on the investigation of relativistic quantum dynamics of spin-0 scalar particles/fields through the utilization of the Klein-Gordon (KG) equation within the framework of an electrovacuum space-time in the presence of an external scalar potential. Specifically, we focus on a cylindrical symmetric Bonnor-Melvin magnetic universe w...

This study focuses on the thermal performance of the ground-air heat exchanger system at three Algerian sites, namely Tebessa, El Oued, and Annaba. The aim is to conduct a comprehensive comparative analysis, assessing seasonal and regional variations in the efficiency of the ground-air exchanger in these localities. Site-specific climatic parameter...

This paper explores the dynamics of the Klein-Gordon oscillator in the presence of a cosmic string in Som Raychaudhuri spacetime. The exact solutions for the free case and the oscillator case are obtained and discussed. These solutions reveal the effects of the cosmic string and the spacetime geometry on the bosonic particles. To illustrate these r...

We study the relativistic quantum motion of a spinless particle using the Feshbach-Villars (FV) formalism in the spinning cosmic string spacetime. The equations of motion are derived using the first-order FV formulation of the Klein-Gordon (KG) equation. We apply the equation of motion (a) to study the motion of the particle confined to a rigid-wal...

Morse potential, a basic interaction potential used in the study of the non-harmonic oscillations between atoms and molecules, can be used for studying diatomic molecules. The full description of Morse interaction can be done using three parameters, and one important parameter of Morse potential is the bond distance of the equilibrium state of the...

In this work, we investigate thermodynamic properties and the relativistic behavior
of a neutral spin-one boson particle in one-dimensional space by means of the gen-
eralized Duffin-Kemmer-Petiau (DKP) equation generated by incorporating a new
nonminimal coupling related to the q-deformed formalism. Then, we obtain analyti-
cal solutions of the ge...

In this contribution, the relativistic quantum motions of the position-dependent mass (PDM) oscillator field with a scalar potential in the context of the Kaluza-Klein theory is investigated. Through a purely analytical analysis, the eigensolutions of this system have been obtained. The results showed that the KGO is influenced not only by curvatur...

This research focuses on exploring the relativistic quantum dynamics of spin-0 scalar massive charged particles within the framework of the relativistic Feshbach-Villars oscillator (FVO) in the context of the Kaluza-Klein Theory (KKT). Specifically, we investigate the behavior of these particles in the presence of a cosmic string space-time within...

This study is devoted to the thermal and magnetic properties of the 2D Klein-Gordon oscillator in a cosmic string space-time. These properties are determined by the partition function based on the Poisson approximation. We provide analytic expressions for the partition function and analyze the entropy, specific heat, magnetization, and magnetic sus...

We study the relativistic quantum motion of a spineless particle using the Feshbach-Villars (FV) formalism in the spinning cosmic string spacetime. The movement equations are derived using the first-order FV formulation of the Klein-Gordon (KG) equation. We apply the equation of motion (a) to study the motion of the particle confined to a rigid-wal...

Изучаются тепловые и магнитные свойства двумерного осциллятора Клейна-Гордона в пространстве-времени космической струны. Эти свойства определяются статистической суммой, которая вычисляется с помощью приближения Пуассона. Получено аналитическое выражение для статистической суммы, и на его основе численно рассчитаны энтропия, удельная теплоемкость,...

We study the relativistic harmonic oscillators (Dirac and Klein–Gordon ones) in a constant external electric field. The solutions obtained are exact. These solutions allowed us to focus on the effect of the external electric field on the thermal properties of such oscillators. These properties are calculated by means of the Zeta-based method. Some...

This research investigates the relativistic quantum dynamics of spin-0 scalar massive charged particles via the relativistic Feshbach-Villars oscillator in the background of the Kaluza-Klein Theory. We solve the Feshbach-Villars equation in the abckground of a cosmic string spec-time in the context of the Kaluza-Klein and presented the eigenvalue s...

Our research aims to investigate how the gravitational field influences the spectroscopic structure of the Feshbach-Villars oscillator in G\"urses space-time. To achieve this, we utilize the first-order Feshbach-Villars version of the Klein-Gordon equation, which is a relativistic wave equation for spinless particles. We examine the oscillator's qu...

In this paper, we investigate the quantum mechanical dynamics of the massive and relativistic Feshbach-Villars oscillator in cosmic dislocation space-time induced by a coulomb-type potential. The first-order Feshbach-Villars version of the Klein-Gordon equation is used to find movement equations. Wave functions and associated energy have been calcu...

This paper is concerned with an investigation of the quantum mechanical dynamics of massive, spinless relativistic Klein-Gordon particle in the space-time generated by a rotating cosmic string. The equations of motion are found by the use of the first-order Feshbach-Villars formulation of the Klein-Gordon equation. The wave-functions and the associ...

Identification and classification of photovoltaic (PV) faults are crucial for preserving the dependability of the PV system (PVS). Different problems may
happen on the PVS's DC or AC side. For mitigation, accident avoidance, reducing the loss of generated energy, and maximizing revenue, such flaws must
be identified, categorized, and localized. T...

In this paper, we are studying the algebra of General Relativity
Flat space and its deformation.
New mathematical of General Relativity and some approximation.
Mathematica and Python programming language and application in General
Relativity.

Dans ce mémoire, nous avons étudié l’influence des potentiels dépendant de l’éner-
gie sur les solutions propres d’un oscillateur harmonique uni-dimensionnel. L’effet
de la modification du produit scalaire pour ce type de problèmes a été testé dans le cas du paramètre de Fisher non-relativiste.

## Questions

Questions (2)

*Z = A + i.B**A is the Re Part**B is the Im Part**What is the physical description of this phenomenon?*