561 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Concordia UniversityCA39 papers
- Gazi UniversityTR13 papers
- University of HyderabadIN6 papers
- Herzberg Institute of AstrophysicsCA3 papers
- Jordan University of Science and TechnologyJO3 papers
- Max Planck Institute for Polymer ResearchDE2 papers
- McGill UniversityCA2 papers
- National Research Council CanadaCA2 papers
- University of LeedsGB2 papers
- University of VictoriaCA2 papers
- Al-Quds Open UniversityPS1 paper
- California State University, Long BeachUS1 paper
47 papers · 1 filter
An Accurate Zeroth-Order Perturbation Theory for Solving Power-Law Potentials within the Framework of the Asymptotic Iteration Method
A. J. Sous, Ibsal Assi, Nasser Saad
Spherically symmetric singular potentials have a wide range of applications, such as molecular and atomic physics. In this work, we present a zeroth-order perturbation theory for s…
Incomplete Symmetric Orthogonal Polynomials of Finite Type Generated by a Generalized Sturm-Liouville Theorem
Mohammad Masjed-Jamei, Zahra Moalemi, Nasser Saad
In a classical case, orthogonal polynomial sequences are in such a way that the th polynomial has the exact degree . Such sequences are complete and form a basis of the spa…
The Asymptotic Iteration Method Revisited
Mourad E. H. Ismail, Nasser Saad
The Asymptotic Iteration Method (AIM) is a technique for solving analytically and approximately the linear second-order differential equation, especially the eigenvalue problems th…
Exact normalized eigenfunctions for general deformed Hulthén potentials
Richard L. Hall, Nasser Saad, K. D. Sen
The exact solutions of Schrödinger's equation with the deformed Hulthén potential are given, along with a closed--form form…
The -dimensional softcore Coulomb potential and the generalized confluent Heun equation
Richard L Hall, Nasser Saad, Kyle R. Bryenton
An analysis of the generalized confluent Heun equation in -dimensional space, where $\{α_i, β_i, \…
A Note on the Generalized and Universal Associated Legendre Equations
Keegan L. A. Kirk, Kyle R. Bryenton, Nasser Saad
A class of second-order differential equations commonly arising in physics applications are considered, and their explicit hypergeometric solutions are provided. Further, the relat…
Exact and approximate solutions of Schrödinger's equation with hyperbolic double-well potentials
Richard L. Hall, Nasser Saad
Analytic and approximate solutions for the energy eigenvalues generated by the hyperbolic potentials are constructed.…
Soft and hard confinement of a two-electron quantum system
Richard L. Hall, Nasser Saad, K. D. Sen
A model physical problem is studied in which a system of two electrons is subject either to soft confinement by means of attractive oscillator potentials or by entrapment within an…
Schrödinger spectrum generated by the Cornell potential
Richard L. Hall, Nasser Saad
The eigenvalues of the -dimensional Schrödinger equation with the Cornell potential , are analyzed by means of the envelope method and…
Spectra generated by a confined softcore Coulomb potential
Richard L Hall, Nasser Saad
Analytic and approximate solutions for the energy eigenvalues generated by a confined softcore Coulomb potentials of the form a/(r+β) in d>1 dimensions are constructed. The confine…
Polynomial solutions for a class of second-order linear differential equations
Nasser Saad, Richard L. Hall, Victoria A. Trenton
We analyze the polynomial solutions of the linear differential equation where is a -degree polynomial. We discuss all the possib…
2D-Zernike polynomials and coherent state quantization of the unit disc
K. Thirulogasanthar, Nasser Saad, G. Honnouvo
Using the orthonormality of the 2D-Zernike polynomials, reproducing kernels, reproducing kernel Hilbert spaces, and ensuring coherent states attained. With the aid of the so-obtain…
Exact and approximate solutions to Schroedinger's equation with decatic potentials
David Brandon, Nasser Saad
The one-dimensional Schroedinger's equation is analysed with regard to the existence of exact solutions for decatic polynomial potentials. Under certain conditions on the potential…
Exact and approximate solutions of Schroedinger's equation for a class of trigonometric potentials
Hakan Ciftci, Richard L. Hall, Nasser Saad
The asymptotic iteration method is used to find exact and approximate solutions of Schroedinger's equation for a number of one-dimensional trigonometric potentials (sine-squared, d…
Discrete spectra for confined and unconfined -a/r + b r^2 potentials in d dimensions
Richard L. Hall, Nasser Saad, Kalidas Sen
Exact solutions to the d-dimensional Schroedinger equation, d\geq 2, for Coulomb plus harmonic oscillator potentials V(r)=-a/r+br^2, b>0 and a\ne 0 are obtained. The potential V(r)…
Study of the generalized quantum isotonic nonlinear oscillator potential
Nasser Saad, Richard L. Hall, Hakan Ciftci +1
We study the generalized quantum isotonic oscillator Hamiltonian given by H=-d^2/dr^2+l(l+1)/r^2+w^2r^2+2g(r^2-a^2)/(r^2+a^2)^2, g>0. Two approaches are explored. A method for find…
Spectral characteristics for a spherically confined -1/r + br^2 potential
Richard L. Hall, Nasser Saad, K. D. Sen
We consider the analytical properties of the eigenspectrum generated by a class of central potentials given by V(r) = -a/r + br^2, b>0. In particular, scaling, monotonicity, and en…
Generalized quantum isotonic nonlinear oscillator in d dimensions
Richard L. Hall, Nasser Saad, Ozlem Yesiltas
We present a supersymmetric analysis for the d-dimensional Schroedinger equation with the generalized isotonic nonlinear-oscillator potential V(r)={B^2}/{r^{2}}+ω^{2} r^{2}+2g{(r^{…
Calculation of generalized Hubbell rectangular source integral
Jonathan Murley, Nasser Saad
A simple formula for computing the generalized Hubbell radiation rectangular source integral $$H[{a,b,p,λ\atop α,β,γ}]=\frac{σa}{4π}\int_0^b x^λ(x^2+p)^{-α}{}_2F_1(α,β;γ;-{a^2\over…
Physical applications of second-order linear differential equations that admit polynomial solutions
Hakan Ciftci, Richard L. Hall, Nasser Saad +1
Conditions are given for the second-order linear differential equation P3 y" + P2 y'- P1 y = 0 to have polynomial solutions, where Pn is a polynomial of degree n. Several applicati…
Soft-core Coulomb potentials and Heun's differential equation
Richard L. Hall, Nasser Saad, K. D. Sen
Schroedinger's equation with the attractive potential V(r) = -Z/(r^q+ b^q)^(1/q), Z > 0, b > 0, q >= 1, is shown, for general values of the parameters Z and b, to be reducible to t…
Energies and wave functions for a soft-core Coulomb potential
Richard L. Hall, Nasser Saad, K. D. Sen +1
For the family of model soft Coulomb potentials represented by V(r) = -\frac{Z}{(r^q+β^q)^{\frac{1}{q}}}, with the parameters Z>0, β>0, q \ge 1, it is shown analytically that the p…
Solvable Systems of Linear Differential Equations
Katherine M. Robertson, Nasser Saad
The asymptotic iteration method (AIM) is an iterative technique used to find exact and approximate solutions to second-order linear differential equations. In this work, we employe…
Study of a confined Hydrogen-like atom by the Asymptotic Iteration Method
Hakan Ciftci, Richard L. Hall, Nasser Saad
The asymptotic iteration method (AIM) is used to obtain both special exact solutions and general approximate solutions for a Hydrogen-like atom confined in a spherical box of arbit…