4 papers · 1 filter
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…
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…
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…