11 papers
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…
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…