arXiv subjects

Abdelmalek Bouzenada

Publications and source records attributed to Abdelmalek Bouzenada.

44 records · Page 3Linked to original sources

arXiv2024

Relativistic spin-0 Duffin-Kemmer-Petiau equation in Bonnor-Melvin-Lambda solution

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 that varies with axial distance. To initiate this investigation, we derive the radial equation using a suitable wave function ansatz and subsequently employ special functions to solve it. Furthermore, we extend our analysis to include Duffin-Kemmer-Petiau oscillator fields within the same BML space-time background. We derive the corresponding radial equation and solve it using special functions. Significantly, our results show that the geometry's topology and the cosmological constant (both are related with the magnetic field strength) influences the eigenvalue solution of spin-0 DKP fields and DKP-oscillator fields, leading to substantial modifications in the overall outcomes

gr-qc↗

arXiv2024

Quantum motions of scalar particles under rainbow gravity effects in spherical symmetrical Gödel-type metric with topological defects

In this research contribution, we explore the relativistic quantum dynamics of spin-0 scalar particles within a curved space-time background containing topological defects, while incorporating the effects of rainbow gravity. The Klein Gordon equation is solved in a spherically symmetrical Godel type space time, considering the presence of topological defects and the influence of rainbow gravity, described by the line element:

gr-qc↗

arXiv2023

Dynamics of a Klein-Gordon Oscillator (KGO) in the Presence of a Cosmic String in Som-Raychaudhuri Space-Time

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 results, some figures and tables have been included.

hep-th↗

arXiv2023

Applications of the Klein-Gordon equation in the Feshbach-Villars representation in the non-inertial cosmic string space-time

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-wall potential, (b) motion in the presence of a Coulomb-type potential, and (c) particle interacting with the Feshbach-Villars oscillator (FVO). The energy levels and wave functions are obtained for the three cases. Our study focused on the impact of rotation and curvature on the energy levels of the particle

hep-th↗

arXiv2023

Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)

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 solution. Afterward, we rewrite this system in the case of the Feshbach-Villars quantum oscillator and obtain the eigenvalue analytically. Finally, we study the interaction of the Feshbach-Villars equation and oscillator in a cosmic dislocation in the Som-Raychaudhuri in the context of the Kaluza-Klein Theory and solve the wave equation analytically. We analyze the influence of topological defect in the quantification of energy and wave function of the Feshbach-Villars oscillator and with the external fields in the last one

hep-th↗

arXiv2023

Behavior of the Feshbach-Villars oscillator (FVO) in Gürses space-time under Coulomb-type potential

Our research aims to investigate how the gravitational field influences the spectroscopic structure of the Feshbach-Villars oscillator in Gürses 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 quantum mechanical behavior in the presence of a Coulomb-type potential, and calculate the resulting wave functions and energy levels for both free and interacting scenarios. In addition, we study the interaction between the Coulomb-type potential and Gürses space-time affects the Feshbach-Villars oscillator's behavior, specifically with regard to its spectroscopic structure. This study has important implications for our understanding of the interplay between quantum mechanics, relativity, and gravitational fields at the microscopic level.

hep-th↗

arXiv2023

On the Feshbach-Villars oscillators (FVO) under coulomb potential in the cosmic dislocation space-time

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 calculated (both in the free case and in the interaction case). We analyse the impact of dislocation topology on this interaction. As a result, the effect of the dislocation on the quantum system under study is examined.

quant-ph↗

arXiv2023

Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string

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 associated energies were deduced ( both in the free and in the interaction case). Following that, the partition function was approximated using Zeta function representation. Moreover, by considering the energy spectrum of the system in question, the thermal properties are presented. We examine the behavior of these properties as a function of the physical parameters of the model such as rotation, curvature, and quantum numbers. Therefore, the impact of the topological defect on the quantum system under investigation is discussed.

hep-th↗