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Chin. Phys. B, 2016, Vol. 25(3): 030201    DOI: 10.1088/1674-1056/25/3/030201
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Application of asymptotic iteration method to a deformed well problem

Hakan Ciftci1, H F Kisoglu2
1. Gazi Üniversitesi, Fen Fakültesi, Fizik Bölümü 06500 Teknikokullar Ankara, Türkiye;
2. Maritime Faculty, Department of Basic Sciences, Mersin University, Mersin, Turkey
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.

Keywords:  asymptotic iteration method      quasi-exact solutions      perturbation method      approximate solutions     
Received:  23 June 2015      Published:  05 March 2016
PACS:  02.30.Hq (Ordinary differential equations)  
  02.60.Cb (Numerical simulation; solution of equations)  
  03.65.Ge (Solutions of wave equations: bound states)  
  03.65.-w (Quantum mechanics)  
Corresponding Authors:  Hakan Ciftci, H F Kisoglu     E-mail:  hciftci@gazi.edu.tr;hasanfatihk@mersin.edu.tr

Cite this article: 

Hakan Ciftci, H F Kisoglu Application of asymptotic iteration method to a deformed well problem 2016 Chin. Phys. B 25 030201

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