Application of asymptotic iteration method to a deformed well problem

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

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. 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. 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/Abstract

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:

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)

Hakan Ciftci, H F Kisoglu. Application of asymptotic iteration method to a deformed well problem[J]. 中国物理B, 2016, 25(3): 30201-030201.

Hakan Ciftci, H F Kisoglu. Application of asymptotic iteration method to a deformed well problem[J]. Chin. Phys. B, 2016, 25(3): 30201-030201.

参考文献 17

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[11]	Yahiaoui S A and Bentaiba M 2011 Acta Physica Polonica B 42 1755
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[13]	Ciftci H, Hall R L, Saad N and Dogu E 2010 J. Phys. A: Math. Theor. 43 415206
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[16]	Barakat T 2006 J. Phys. A: Math. Gen. 39 823
[17]	Ciftci H, Hall R L and Saad N 2005 Phys. Lett. A 340 388

Application of asymptotic iteration method to a deformed well problem

Application of asymptotic iteration method to a deformed well problem

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