The asymptotic iteration method for the angular spheroidal eigenvalues

The asymptotic iteration method for the angular spheroidal eigenvalues with arbitrary complex size parameter c

“…This method was applied by Barakat et al [25] to compute the angular spheroidal eigenvalues λ m ℓ (c) with real c 2 , and for the eigenenergies of the anharmonic oscillator potential [26]. The implementation of this method was straightforward, and the results were sufficiently accurate for practical purposes.…”

Ordering of Ground State Energy Levels of Two-Electron Quantum Dot in a Magnetic Field

“…for f n,m (x) is obtained which is suitable for AIM application [28][29][30][31][32][33][34][35]. The systematic procedure of the AIM begins now rewriting (7) in the following form…”

“…In particular, the spectral properties of a two-electron QD for any ratio of the electron-electron strength to the harmonic confinement provoke special interest [21][22][23][24][25][26][27]. In this work, we aim to show that the asymptotic iteration method (AIM) [28] which has been investigated by others [29][30][31][32][33][34][35] could give the spectroscopic structure of the relative motion of two interacting electrons at an arbitrary values of an applied magnetic field in a parabolic quantum dot, and could provide energy eigenvalues for potentials that have no analytical solutions for any quantum states.…”

Bound state of solution of Dirac-Coulomb problem with spatially dependent mass

“…This equation has been addressed for solvable potentials by a number of different methods [19][20][21][22][23][24][25][26][27][28][29][30]. Ciftci et al [31][32][33] recently proposed an alternative method, the asymptotic iteration method (AIM) which draws the attention of a many researchers for relativistic equations [34][35][36][37][38][39][40]. This method has the advantage of obtaining the solution of an eigenvalue problem without needing to obtain a direct solution to the differential equation.…”