3 papers
quant-ph2025
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…
physics.gen-ph2025
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…
quant-ph2024
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…