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- King Fahd University of Petroleum and MineralsSA54 papers
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11 papers · 1 filter
Dirac Fermions in Inhomogeneous Magnetic Field
Ahmed Jellal, Abderrahim El Mouhafid
We study a confined system of Dirac fermions in the presence of inhomogeneous magnetic field. Splitting the system into different regions, we determine their corresponding energy s…
Dynamical mass generation via space compactification in graphene
A. D. Alhaidari, A. Jellal, E. B. Choubabi +1
Fermions in a graphene sheet behave like massless particles. We show that by folding the sheet into a tube they acquire non-zero effective mass as they move along the tube axis. Th…
Generalized Spin and Pseudo-Spin Symmetry: Relativistic Extension of Supersymmetric Quantum Mechanics
A. D. Alhaidari
We consider the Dirac equation in 1+1 space-time dimension with vector, scalar and pseudo-scalar coupling. In the traditional spin (or pseudo-spin) symmetry, the difference between…
Symplectic Fluctuations for Electromagnetic Excitations of Hall Droplets
Mohammed Daoud, Ahmed Jellal, Abdellah Oueld Guejdi
We show that the integer quantum Hall effect systems in plane, sphere or disc, can be formulated in terms of an algebraic unified scheme. This can be achieved by making use of a ge…
Relativistic Coulomb problem for Z larger than 137
A. D. Alhaidari
We propose a relativistic one-parameter Hermitian theory for the Coulomb problem with an electric charge greater than 137. In the non-relativistic limit, the theory becomes identic…
A class of singular logarithmic potentials in a box with variety of skin thickness and wall interaction
A. D. Alhaidari
We obtain an analytic solution for a three-parameter class of logarithmic potentials at zero energy. The potential terms are products of the inverse square and the inverse log to p…