880 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Saudi Center for Theoretical PhysicsSA54 papers
- Chouaib Doukkali UniversityMA33 papers
- King Abdullah University of Science and TechnologySA29 papers
- Massachusetts Institute of TechnologyUS17 papers
- Georgia Institute of TechnologyUS16 papers
- King Faisal UniversitySA12 papers
- Shura CouncilSA11 papers
- National University of SingaporeSG9 papers
- Northeastern UniversityUS9 papers
- Academy of Sciences Republic of UzbekistanUZ7 papers
- National University of Sciences and TechnologyPK7 papers
- Quaid-i-Azam UniversityPK7 papers
17 papers · 1 filter
Solution of the spin and pseudo-spin symmetric Dirac equation in 1+1 space-time using the tridiagonal representation approach
I. A. Assi, A. D. Alhaidari, H. Bahlouli
The aim of this work is to find exact solutions of the Dirac equation in 1+1 space-time beyond the already known class. We consider exact spin (and pseudo-spin) symmetric Dirac equ…
Confined Dirac Particles in Constant and Tilted Magnetic Field
Abdulaziz D. Alhaidari, Hocine Bahlouli, Ahmed Jellal
We study the confinement of charged Dirac particles in 3+1 space-time due to the presence of a constant and tilted magnetic field. We focus on the nature of the solutions of the Di…
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…
Confined Dirac Fermions in a Constant Magnetic Field
Ahmed Jellal, Abdulaziz D. Alhaidari, Hocine Bahlouli
We obtain an exact solution of the Dirac equation in (2+1)-dimensions in the presence of a constant magnetic field normal to the plane together with a two-dimensional Dirac-oscilla…
Dirac and Klein-Gordon equations with equal scalar and vector potentials
A. D. Alhaidari, H. Bahlouli, A. Al-Hasan
We study the three-dimensional Dirac and Klein-Gordon equations with scalar and vector potentials of equal magnitudes as an attempt to give a proper physical interpretation of this…
Systematic and intuitive approach for separation of variables in the Dirac equation for a class of noncentral electromagnetic potentials
A. D. Alhaidari
We consider the three-dimensional Dirac equation in spherical coordinates with coupling to static electromagnetic potential. The space components of the potential have angular (non…
The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials
A. D. Alhaidari
We study the Dirac equation in 3+1 dimensions with non-minimal coupling to isotropic radial three-vector potential and in the presence of static electromagnetic potential. The spac…
Solution of the Dirac equation by separation of variables in spherical coordinates for a class of three-parameter non-central electromagnetic potential
A. D. Alhaidari
We consider the three-dimensional Dirac equation in spherical coordinates with coupling to static electromagnetic potential. The space components of the potential have angular (non…
Exact L2 series solution of the Dirac-Coulomb problem for all energies
A. D. Alhaidari
We obtain exact solution of the Dirac equation with the Coulomb potential as an infinite series of square integrable functions. This solution is for all energies, the discrete as w…
Solution of the relativistic Dirac-Hulthen problem
A. D. Alhaidari
The one-particle three-dimensional Dirac equation with spherical symmetry is solved for the Hulthen potential. The s-wave relativistic energy spectrum and two-component spinor wave…
The Dirac-Oscillator Green's function
A. D. Alhaidari
We obtain the two-point Green's function for the relativistic Dirac-Oscillator problem. This is accomplished by setting up the relativistic problem in such a way that makes compari…
The Relativistic Dirac-Morse Green's function
A. D. Alhaidari
Using a recently developed approach for solving the three dimensional Dirac equation with spherical symmetry, we obtain the two-point Green's function of the relativistic Dirac-Mor…
Reply to 'Comment on "Relativistic extension of shape-invariant potentials"'
A. D. Alhaidari
We concur with de Castro's observation that the gauge considerations of our approach are not valid. Nevertheless, except for an error that will be corrected, all of our findings ar…
The relativistic J-matrix theory of scattering: an analytic solution
A. D. Alhaidari
The relativistic J-matrix is investigated in the case of Coulomb-free scattering for a general short-range spin-dependent perturbing potential and in two different L2 bases. The re…
Energy spectrum of the relativistic Dirac-Morse problem
A. D. Alhaidari
We derive an elegant analytic formula for the energy spectrum of the relativistic Dirac-Morse problem, which has been solved recently. The new formula displays the properties of th…
Relativistic shape invariant potentials
A. D. Alhaidari
Dirac equation for a charged spinor in electromagnetic field is written for special cases of spherically symmetric potentials. This facilitates the introduction of relativistic ext…
Solution of the relativistic Dirac-Morse problem
A. D. Alhaidari
Dirac equation for a charged particle in static electromagnetic field is written for special cases of spherically symmetric potentials. Besides the well known Dirac-Coulomb and Dir…