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10 papers · 1 filter
Analytically Solvable 2D Potentials: Bound States
S. M. Al-Marzoug, H. Bahlouli, M. S. Abdelmonem
Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix representation…
Tunneling of Graphene Massive Dirac Fermions through a Double Barrier
Hocine Bahlouli, El Bouazzaoui Choubabi, Ahmed Jellal +1
We study the tunneling of Dirac fermions in graphene through a double barrier potential allowing the carriers to have an effective mass inside the barrier as generated by a lattice…
Analytical Treatment of the Oscillating Yukawa Potential
H. Bahlouli, M. S. Abdelmonem, S. M. Al-Marzoug
Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix elements of th…
Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections
A. D. Alhaidari, A. Jellal
By requiring unambiguous symmetric quantization leading to the Dirac equation in a curved space, we obtain a special representation of the spin connections in terms of the Dirac ga…
Solution of One-dimensional Dirac Equation via Poincare Map
Hocine Bahlouli, El Bouazzaoui Choubabi, Ahmed Jellal
We solve the general one-dimensional Dirac equation using a "Poincare Map" approach which avoids any approximation to the spacial derivatives and reduces the problem to a simple re…
Transmission through Biased Graphene Strip
Hocine Bahlouli, El Bouazzaoui Choubabi, Abderrahim El Mouhafid +1
We solve the 2D Dirac equation describing graphene in the presence of a linear vector potential. The discretization of the transverse momentum due to the infinite mass boundary con…