Application of asymptotic iteration method to a deformed well problem

ÇİFTCİ H., Kisoglu H. F.

CHINESE PHYSICS B, cilt.25, sa.3, 2016 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1088/1674-1056/25/3/030201
  • Dergi Adı: CHINESE PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: asymptotic iteration method, quasi-exact solutions, perturbation method, approximate solutions
  • Gazi Üniversitesi Adresli: Evet

Özet

The asymptotic iteration method (AIM) is used to obtain the quasi-exact solutions of the Schrodinger equation with a deformed well potential. For arbitrary potential parameters, a numerical aspect of AIM is also applied to obtain highly accurate energy eigenvalues. Additionally, the perturbation expansion, based on the AIM approach, is utilized to obtain simple analytic expressions for the energy eigenvalues.