Bouzenada Abdelmalek

Echahid Cheikh Larbi Tebessi University, Tebessa · Material Sciences

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.

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 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.