18 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 …
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 with an Apparent Mass Induced by the Momentum-Space Dual of the Fock--Lorentz Transformations
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…