48 citations
- King Fahd University of Petroleum and MineralsSA54 papers
- Chouaib Doukkali UniversityMA37 papers
- King Faisal UniversitySA19 papers
- Memorial University of NewfoundlandCA6 papers
- University of AntwerpBE4 papers
- Academy of Sciences Republic of UzbekistanUZ3 papers
- Saudi Electronic UniversitySA3 papers
- United Arab Emirates UniversityAE3 papers
- Université Ibn ZohrMA3 papers
- University of BeninNG3 papers
- University of Central FloridaUS3 papers
- Badji Mokhtar-Annaba UniversityDZ2 papers
115 papers
Two-parameter classes of exactly solvable quantum systems
A. D. Alhaidari
We introduce two-parameter classes of exactly-solvable novel systems whose Hamiltonian operators could be represented by tridiagonal symmetric matrices in some orthogonal bases. Th…
Matrix representation of the resolvent operator in square-integrable basis and physical application
A. D. Alhaidari
We obtain simple formulas for the matrix elements of the resolvent operator (the Green's function) in any finite set of square integrable basis. These formulas are suitable for num…
Electron trapping in graphene quantum dots with magnetic flux
Mohammed El Azar, Ahmed Bouhlal, Abdulaziz D. Alhaidari +1
It is known that the appearance of Klein tunneling in graphene makes it hard to keep or localize electrons in a graphene-based quantum dot (GQD). However, a magnetic field can be u…
Gauss quadrature for integrals and sums
A. D. Alhaidari
Gauss quadrature integral approximation is extended to include integrals with a measure consisting of continuous as well as discrete components. That is, we give an approximation f…
A Novel Algebraic System in Quantum Field Theory
A. D. Alhaidari, A. Laradji
An algebraic system is introduced, which is very useful for doing scattering calculations in quantum field theory. It is the set of all real numbers greater than or equal to -m^2 w…
Nonlinear extension of the J-matrix method of scattering: A toy model
A. D. Alhaidari, T. J. Taiwo
We introduce nonlinear extension of the J-matrix method of scattering. The formulation relies predominantly on the linearization of products of orthogonal polynomials. We present a…