Application of asymptotic iteration method to a deformed well problem

doi:10.1088/1674-1056/25/3/030201

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
Revised: 27 November 2015
Accepted manuscript online:

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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