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Application of Asymptotic Iteration Method (AIM) to a Deformed Well Problem
Hakan Ciftci, H. Fatih Kisoglu
We have used Asymptotic Iteration Method (AIM) for obtaining the eigenvalues of the Schrodinger's equation for a deformed well problem representing trigonometric functions. By solv…
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…
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…
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…
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…
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…