66 citations · 145 across the 5 of their papers we have counts for
10 papers
The Klein-Gordon equation with the Kratzer potential in d dimensions
Nasser Saad, Richard L. Hall, Hakan Ciftci
We apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r…
Solutions for certain classes of Riccati differential equation
Nasser Saad, Richard L Hall, Hakan Ciftci
We derive some analytic closed-form solutions for a class of Riccati equation y'(x)-λ_0(x)y(x)\pm y^2(x)=\pm s_0(x), where λ_0(x), s_0(x) are C^{\infty}-functions. We show that if…
Iterative solution of differential equations
Paolo Amore, Hakan Ciftci, Francisco M. Fernandez
We discuss alternative iteration methods for differential equations. We provide a convergence proof for exactly solvable examples and show more convenient formulas for nontrivial p…
Criterion for polynomial solutions to a class of linear differential equation of second order
Nasser Saad, Richard L. Hall, Hakan Ciftci
We consider the differential equations y''=λ_0(x)y'+s_0(x)y, where λ_0(x), s_0(x) are C^{\infty}-functions. We prove (i) if the differential equation, has a polynomial solution of…
Study of a class of non-polynomial oscillator potentials
Nasser Saad, Richard L. Hall, Hakan Ciftci
We develop a variational method to obtain accurate bounds for the eigenenergies of H = -Delta + V in arbitrary dimensions N>1, where V(r) is the nonpolynomial oscillator potential…
Iterative solutions to the Dirac equation
Hakan Ciftci, Richard L. Hall, Nasser Saad
We consider a single particle which is bound by a central potential and obeys the Dirac equation in d dimensions. We first apply the asymptotic iteration method to recover the know…