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6 papers · 2 filters
J-matrix method of scattering for inverse-square singular potential with supercritical coupling I. Theory
Abdulaziz D. Alhaidari, Hocine Bahlouli, Carlos P. Aparicio +1
The J-matrix method of scattering was developed to handle regular short-range potentials with applications in atomic, nuclear and molecular physics. Its accuracy, stability, and co…
Construction of potential functions associated with a given energy spectrum -- An inverse problem. II
Abdulaziz D. Alhaidari, Houcine Aounallah
We continue our solution of the inverse problem started by the first author in [Int. J. Mod. Phys. A 35, xxxx (2020), in production]. Additional potential functions for exactly sol…
Exponentially confining potential well
A. D. Alhaidari
We introduce an exponentially confining potential well that could be used as a model to describe the structure of a strongly localized system. We obtain an approximate partial solu…
Confined systems associated with the discrete Meixner polynomials
A. D. Alhaidari, T. J. Taiwo
Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we study quantum systems totally confined in space and associated wi…
Construction of potential functions associated with a given energy spectrum
A. D. Alhaidari
Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we present a method that gives the class of potential functions for…
J-matrix method of scattering in one dimension: The relativistic theory
A. D. Alhaidari
We make a relativistic extension of the one-dimensional J-matrix method of scattering. The relativistic potential matrix is a combination of vector, scalar, and pseudo-scalar compo…