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


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Ciftci H. , Hall R., Saad N.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.38, sa.5, ss.1147-1155, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 5
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1088/0305-4470/38/5/015
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.1147-1155

Özet

We apply the asymptotic iteration method (AIM) (Ciftci, Hall and Saad 2003 J. Phys. A: Math. Gen. 36 11807) 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 Schrodinger problems with Coulomb, harmonic oscillator or Poschl-Teller potentials, as well as the special eigenproblems studied recently by Bender et al (2001 J. Phys. A: Math. Gen. 34 9835) and generalized in the present paper to arbitrary dimension.