Exact analytical solution of the Klein-Gordon equation for the pionic atom by asymptotic iteration method

DURMUŞ A., Yasuk F., Boztosun I.

INTERNATIONAL JOURNAL OF MODERN PHYSICS E, vol.15, no.6, pp.1243-1251, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 6
  • Publication Date: 2006
  • Doi Number: 10.1142/s0218301306004788
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS E
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1243-1251
  • Keywords: picnic Atom, Klein-Gordon equation, asymptotic iteration method, eigenvalues and eigenfunctions, SCHRODINGER-EQUATION, EIGENVALUE PROBLEMS, EIGENENERGIES
  • Akdeniz University Affiliated: No

Abstract

Within the framework of the asymptotic iteration method, we investigate the exact analytical solution for picnic atom in the Coulomb field of a nucleus. Exact bound state energy eigenvalues and corresponding eigenfunctions are determined for the case of angular momentum l not equal 0, for which the Coulomb potential is exactly solvable. Bound state eigenfunctions solutions, which have been extremely used in applications related with molecular spectroscopy, are obtained in terms of confluent hypergeometric functions.