Arbitrary l-state solution of the Hellmann potential

Koçak G., Bayrak O., Boztosun İ.

JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY, vol.6, no.4, pp.893-903, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.1142/s0219633607003313
  • Journal Name: JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.893-903
  • Keywords: asymptotic iteration method, bound states, Hellmann potential, ASYMPTOTIC ITERATION METHOD, EIGENVALUE PROBLEMS, BOUND-STATES, APPROXIMATION, PERTURBATION, EQUATION, PLASMA
  • Erciyes University Affiliated: Yes

Abstract

We present an alternative and accurate solution of the radial Schrodinger equation for the Hellmann potential within the framework of the asymptotic iteration method. We show that the bound state energy eigenvalues can be obtained easily for any n and l values without using any approximations required by other methods. Our results are compared with the findings of other methods.