17 papers
Generalized Fock--Lorentz Transformations from Projective Conformal Coordinates: Covariant Structure, Sector Classification, and Oscillator Limits
Abdelmalek Boumali, N. Jafari, M. Botshekananfard
We develop a covariant projective formulation of generalized Fock--Lorentz (GFL) transformations based on the auxiliary Minkowski coordinates , where is a…
Hyperstatistical thermodynamics of the one-dimensional Klein-Gordon and Dirac oscillators: a closed-form q-generalized Boltzmann factor and a quantitative comparison with Beck's superstatistics
Abdelmalek Boumali
We revisit the thermodynamics of the one-dimensional Klein-Gordon (KGO) and Dirac (DO) oscillators within two frameworks of generalized statistics: Beck's asymptotic superstatistic…
Klein-Gordon and Dirac Oscillators in a Constant-Curvature Fock-Lorentz Background
Abdelmalek Boumali, N. Jafari, Manizheh Botshekananfard
We propose a controlled momentum-space dual of the Fock--Lorentz (FL) transformations and use it to derive a deformed relativistic mass shell. Restricting the FL conformal factor t…
Non-Abelian Dirac oscillator in a uniform Yang--Mills background: spin--isospin mixing and singlet--triplet splitting
Abdelmalek Boumali
We investigate a planar Dirac oscillator coupled to a spatially uniform \(\utwo=\uone\times\su\) Yang--Mills background. The gauge configuration, adapted from the Dossa--Avossevou…
Effective Geometry and Position-Dependent Mass in Dual- Quantum Mechanics
A. Boumali, A. Makhlouf
This work investigates the deformed-derivative formalism introduced by Borges, with emphasis on the relation between the linear operator and its nonlinear dual counterpar…
Bounded thermal weights from a discrete Boltzmann factor
Abdelmalek Boumali, Yassine Chargui
The discrete Boltzmann factor , introduced by Chung, Hassanabadi, and Boumali, provides a lattice regularization of the canonical weight and imposes th…
Black-hole thermodynamics in doubly special relativity: near-horizon g/f temperature scaling under a shared operational scale
Abdelmalek Boumali, Nosratollah Jafari
Doubly Special Relativity (DSR) deforms special-relativistic kinematics by introducing an invariant Planck energy scale alongside the speed of light, while preser…
Analytical Solutions of One-Dimensional () Potentials for Spin-0 Particles via the Feshbach-Villars Formalism
Abdelmalek Boumali, Abdelmalek Bouzenada, Edilberto O. Silva
We present a unified analytical and numerical study of the one-dimensional Feshbach--Villars (FV) equation for spin-0 particles in the presence of several representative external p…
Nonlocal Generalized Dirac Oscillators in (1 + 1) Dimensions
Abdelmalek Boumali
We propose a nonlocal extension of the generalized Dirac oscillator (GDO) in dimensions by replacing the multiplicative interaction with an integral operator $\hat F…
The Generalized Dirac Oscillator in Doubly Special Relativity: A Complexified Morse Interaction
Abdelmalek Boumali
We study the one-dimensional Generalized Dirac Oscillator (GDO) under Doubly Special Relativity (DSR) kinematics. The GDO extends the Dirac oscillator by replacing the linear non-m…
Klein-Gordon Oscillator with Linear-Fractional Deformed Mass-Shell Invariants in Doubly Special Relativity
Abdelmalek Boumali, Nosratollah Jafari
We study the Klein--Gordon (KG) oscillator in a doubly special relativity (DSR) framework, where the mass-shell condition is deformed through a linear--fractional (Möbius-type) mod…
Three-Dimensional Modified Dirac Oscillator in Standard and Generalized Doubly Special Relativity
Abdelmalek Boumali, Nosratollah Jafari
% Doubly Special Relativity (DSR) introduces, besides the invariant speed of light , an observer-independent high-energy % scale that deforms relativistic kinematics and can be…
Three-Dimensional Modified Klein--Gordon Oscillator in Standard and Generalized Doubly Special Relativity
Abdelmalek Boumali, Nosratollah Jafari
Doubly Special Relativity (DSR) augments special relativity by introducing, alongside the invariant speed of light , a second observer-independent scale typically associated wit…
Analysis of Spin-1/2 Particle Scattering in a Spinning Cosmic String Spacetime with Torsion, Curvature, and a Coulomb Potential
Abdelmalek Boumali
This paper investigates the scattering states of spin-1/2 particles in the spacetime of a spinning cosmic string with spacelike disclination and dislocation, with and without a Cou…
Quantum Dynamics of Scalar Particles in a Spinning Cosmic String Background with Topological Defects: A Feshbach-Villars Formalism Perspective
Sarra Garah, Abdelmalek Boumali
We study the relativistic quantum dynamics of spin-0 particles in the spacetime of a spinning cosmic string that carries both spacelike disclination (conical deficit ) and screw…
Dirac Oscillator for Spin-1/2 Particles in a Spinning Cosmic String Spacetime with Spacelike Disclination and Dislocation
Abdelmalek Boumali
We study the Dirac oscillator for spin-1/2 particles in a spacetime containing a spinning cosmic string endowed with both curvature (disclination) and torsion (screw dislocation).…
Quantum Dynamics of a Scalar Particle in Schwarzschild Spacetime using the Generalized Feshbach Villars Transformation
Sarra Garah, Abdelmalek Boumali
In this work, we apply the generalised Feshbach Villars transformation (GFVT) to spin-0 scalar fields in a Schwarzschild gravitational background. Starting from the covariant Klein…