| An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems |
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| 引用本文： | I. Boztosun M. Karakoc. An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems[J]. 中国物理快报, 2007, 24(11): 3028-3031 |
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| 作者姓名： | I. Boztosun M. Karakoc |
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| 作者单位： | Faculty of Arts and Sciences, Department of Physics, Erciyes University, Kayseri, Turkey |
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| 基金项目： | Supported by the Scientific and Technical Research Council of Turkey （TUBITAK） under Grant No TBAG-106T024, Erciyes University （EUBAP-FBA-04-02）, and Turkish Academy of Sciences （TUBA-GEBIP）. |
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| 摘 要： |
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| 关 键 词： | 渐近线反复模型 可解特征值 数学物理 物理分析 |
| 收稿时间： | 2007-07-27 |
An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems |
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| I. Boztosun,M. Karakoc. An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems[J]. Chinese Physics Letters, 2007, 24(11): 3028-3031 |
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| Authors: | I. Boztosun M. Karakoc |
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| Affiliation: | Faculty of Arts and Sciences, Department of Physics, Erciyes University, Kayseri, Turkey |
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| Abstract: | We derive a formula that simplifies the original asymptotic iteration method formulation to find the energy eigenvalues for the analytically solvable cases. We then show that there is a connection between the asymptotic iteration and the Nikiforo-Uvarov methods, which both solve the second order linear ordinary differential equations analytically. |
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| Keywords: | 03.65.Ge |
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