Exact analytical solutions to the Kratzer potential by the asymptotic iteration method

Bayrak O., Boztosun I., Ciftci H.

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, cilt.107, sa.3, ss.540-544, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 107 Sayı: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1002/qua.21141
  • Dergi Adı: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.540-544
  • Anahtar Kelimeler: asymptotic iteration method (AIM), bound states, eigenvalues and eigenfunctions, Kratzer potential, analytical solution, SCHRODINGER-EQUATION, DIATOMIC-MOLECULES, NUMERICAL-SOLUTION, MULTISTEP METHODS
  • Gazi Üniversitesi Adresli: Evet

Özet

For any n and l values, we present a simple exact analytical solution of the radial Schrodinger equation for the Kratzer potential within the framework of the asymptotic iteration method (AIM). The exact bound-state energy eigenvalues (E-nl) and corresponding eigenfunctions (R-nl) are calculated for various values of n and l quantum numbers for CO, NO, O-2, and I-2 diatomic molecules. (C) 2006 Wiley Periodicals, Inc.