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

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

2004-12-10

arxiv.org/abs/math-ph/0412030v1

J. Phys. A 38, 1147 - 1155 (2005)

Physics

Mathematical Physics

10 pages

Scientific paper

10.1088/0305-4470/38/5/015

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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