Supersymmetric solution of Schrodinger equation by using the asymptotic iteration method

Koçak G., Bayrak O., Boztosun İ.

ANNALEN DER PHYSIK, vol.524, no.6-7, pp.353-359, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 524 Issue: 6-7
  • Publication Date: 2012
  • Doi Number: 10.1002/andp.201200028
  • Journal Name: ANNALEN DER PHYSIK
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.353-359
  • Keywords: Asymptotic iteration method, supersymmetry, eigenvalues, L-STATE SOLUTIONS, ENERGY-SPECTRA, FACTORIZATION
  • Erciyes University Affiliated: Yes

Abstract

In this work, the exact analytical solutions of the radial Schrodinger equation are presented for the harmonic oscillator, Hulthen and Poschl-Teller potentials within the framework of the asymptotic iteration method by using supersymmetry. The energy eigenvalues and the corresponding eigenfunctions are obtained analytically.