561 citations · 1.4k across the 22 of their papers we have counts for
22 papers
Non-relativistic Arbitrary l-states of Quarkonium through Asymptotic Iteration Method
Hakan Ciftci, Hasan Fatih Kisoglu
The energy eigenvalues with any l-states and mass of heavy quark- antiquark system (quarkonium) are obtained by using Asymptotic Iteration Method in the view of non-relativistic qu…
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…
Genaral Pi Function and the Pi number
Hakan Ciftci
In this short note, we have defined a new "nested square root" function which generates usual Pi number for . We have given some useful identities and asymptotic formulas of t…