Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
We apply the asymptotic iteration method (AIM) [J. Phys. A: Math. Gen. 36, 11807 (2003)] to solve new classes of second-order homogeneous linear differential equation. In particular, solutions are found for a general class of eigenvalue problems which includes Schroedinger problems with Coulomb, harmonic oscillator, or Poeschl-Teller potentials, as well as the special eigenproblems studied recently by Bender et al [J. Phys. A: Math. Gen. 34 9835 (2001)] and generalized in the present paper to higher dimensions.
Cite
@article{arxiv.math-ph/0412030,
title = {Construction of exact solutions to eigenvalue problems by the asymptotic iteration method},
author = {Hakan Ciftci and Richard L. Hall and Nasser Saad},
journal= {arXiv preprint arXiv:math-ph/0412030},
year = {2009}
}
Comments
10 pages