中国物理B ›› 2016, Vol. 25 ›› Issue (3): 30201-030201.doi: 10.1088/1674-1056/25/3/030201

• GENERAL •    下一篇

Application of asymptotic iteration method to a deformed well problem

Hakan Ciftci, H F Kisoglu   

  1. 1. Gazi Üniversitesi, Fen Fakültesi, Fizik Bölümü 06500 Teknikokullar Ankara, Türkiye;
    2. Maritime Faculty, Department of Basic Sciences, Mersin University, Mersin, Turkey
  • 收稿日期:2015-06-23 修回日期:2015-11-27 出版日期:2016-03-05 发布日期:2016-03-05
  • 通讯作者: Hakan Ciftci, H F Kisoglu E-mail:hciftci@gazi.edu.tr;hasanfatihk@mersin.edu.tr

Application of asymptotic iteration method to a deformed well problem

Hakan Ciftci1, H F Kisoglu2   

  1. 1. Gazi Üniversitesi, Fen Fakültesi, Fizik Bölümü 06500 Teknikokullar Ankara, Türkiye;
    2. Maritime Faculty, Department of Basic Sciences, Mersin University, Mersin, Turkey
  • Received:2015-06-23 Revised:2015-11-27 Online:2016-03-05 Published:2016-03-05
  • Contact: Hakan Ciftci, H F Kisoglu E-mail:hciftci@gazi.edu.tr;hasanfatihk@mersin.edu.tr

摘要:

The asymptotic iteration method (AIM) is used to obtain the quasi-exact solutions of the Schrödinger 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.

关键词: asymptotic iteration method, quasi-exact solutions, perturbation method, approximate solutions

Abstract:

The asymptotic iteration method (AIM) is used to obtain the quasi-exact solutions of the Schrödinger 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.

Key words: asymptotic iteration method, quasi-exact solutions, perturbation method, approximate solutions

中图分类号:  (Ordinary differential equations)

  • 02.30.Hq
02.60.Cb (Numerical simulation; solution of equations) 03.65.Ge (Solutions of wave equations: bound states) 03.65.-w (Quantum mechanics)