5 papers
Non-Abelian Extensions of the Dirac Oscillator: A Theoretical Approach
Abdelmalek Boumali, Sarra Garrah
We formulate the Dirac oscillator covariantly in the presence of external non-Abelian gauge fields. More precisely, the matter field is written as , where denotes…
The Generalized Klein--Gordon Oscillator in Doubly Special Relativity: A Complexified Morse Interaction
Abdelmalek Boumali
We investigate the one-dimensional \emph{Generalized Klein--Gordon Oscillator} (G-KGO) within Doubly Special Relativity (DSR) kinematics. The G-KGO extends the Klein--Gordon oscill…
Feshbach-Villars Formalism for a Spin-1/2 Particle in Curved Spacetime
Abdelmalek Boumali
This study explores the Feshbach-Villars (FV) formalism for spin-1/2 particles in curved spacetime. We derive the Hamiltonian form of the Dirac equation in this context and extend…
Dirac Oscillator in DSR: A Comparative Study of Magueijo-Smolin and Amelino-Camelia Models
Nosratollah Jafari, Abdelmalek Boumali
This paper investigates the energy spectrum of the Dirac oscillator within the framework of Doubly Special Relativity (DSR), focusing on two prominent models: the Magueijo--Smolin…
Eigensolutions of the two Dimensional Kemmer Oscillator in Noncommutative Space with Minimal Length Effects
Abdelmalek Boumali
This paper investigates a two-dimensional Kemmer oscillator within relativistic quantum mechanics, incorporating minimal length and non-commutative phase space effects. We derive e…