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Construction of exact solutions to eigenvalue problems by the asymptotic iteration method

Hakan Ciftci·Richard L. Hall·Nasser Saad
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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.

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Hakan Ciftci, Richard L. Hall, Nasser Saad. 2004-12-10. Construction of exact solutions to eigenvalue problems by the asymptotic iteration method. https://doi.org/10.1088/0305-4470/38/5/015

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