322 citations · 2.5k across the 139 of their papers we have counts for
139 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…
Perturbative nonlinear J-matrix method of scattering in two dimensions
T. J. Taiwo, A. D. Alhaidari, U. Al Khawaja
We introduce a perturbative formulation for a nonlinear extension of the J-matrix method of scattering in two dimensions. That is, we obtain the scattering matrix for the time-inde…
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…
Finite Spectral Quantum Field Theory
A. D. Alhaidari
Using the spectral properties of orthogonal polynomials, we introduce an algebraic version of quantum field theory for elementary particles. Closed-loop integrals in the Feynman di…
Mass Generation in Structural Algebraic Quantum Field Theory: An alternative to the Higgs mechanism
A. D. Alhaidari
Within the recently proposed structure-inclusive algebraic formulation of quantum field theory, we show that a massless particle can acquire mass by special nonlinear coupling to a…
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…