An improvement of the asymptotic iteration method for exactly solvable eigenvalue problems

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Boztosun I., Karakoc M.

CHINESE PHYSICS LETTERS, cilt.24, sa.11, ss.3028-3031, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 11
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1088/0256-307x/24/11/004
  • Dergi Adı: CHINESE PHYSICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3028-3031
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

We derive a formula that simplifies the original asymptotic iteration method formulation to find the energy eigenvalues for the analytically solvable cases. We then show that there is a connection between the asymptotic iteration and the Nikiforov-Uvarov methods, which both solve the second order linear ordinary differential equations analytically.