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
11 papers · 1 filter
Scattering phase shift for relativistic exponential-type separable potentials
A. D. Alhaidari
The J-matrix method of scattering is used to obtain analytic expressions for the phase shift of two classes of relativistic exponential-type separable potentials whose radial compo…
Graded extension of SO(2,1) Lie algebra and the search for exact solutions of Dirac equation by point canonical transformations
A. D. Alhaidari
SO(2,1) is the symmetry algebra for a class of three-parameter problems that includes the oscillator, Coulomb and Morse potentials as well as other problems at zero energy. All of…
Exact solutions of Dirac and Schrodinger equations for a large class of power-law potentials at zero energy
A. D. Alhaidari
We obtain exact solutions of Dirac equation at zero kinetic energy for radial power-law relativistic potentials. It turns out that these are the relativistic extension of a subclas…
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…
J-matrix method of scattering in any L2 basis
H. A. Yamani, A. D. Alhaidari, M. S. Abdelmonem
The restriction imposed on the J-matrix method of using specific L2 bases is lifted without compromising any of the advantages that it offers. This opens the door to a wider range…
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…
Nonequilibrium relaxation of Bose-Einstein condensates: Real-time equations of motion and Ward identities
D. Boyanovsky, S. -Y. Wang, D. -S. Lee +2
We present a field-theoretical method to obtain consistently the equations of motion for small amplitude condensate perturbations in a homogeneous Bose-condensed gas directly in re…
Note on flat foliations of spherically symmetric spacetimes
Viqar Husain, Asghar Qadir, Azad A. Siddiqui
It is known that spherically symmetric spacetimes admit flat spacelike foliations. We point out a simple method of seeing this result via the Hamiltonian constraints of general rel…
Numerical Computations of Viscous, Incompressible Flow Problems Using a Two-Level Finite Element Method
Faisal Fairag
We consider two-level finite element discretization methods for the stream function formulation of the Navier-Stokes equations. The two-level method consists of solving a small non…