561 citations · 2.1k across the 60 of their papers we have counts for
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math-ph2009★ 26 cited
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…
math-ph2009★ 36 cited
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…
math-ph2009★ 1 cited
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…