| 近似解析求解Woods-Saxon势场Klein-Gordon方程 |
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| 引用本文： | 陈文利,史艳维,冯晶晶. 近似解析求解Woods-Saxon势场Klein-Gordon方程[J]. 西华大学学报(自然科学版), 2017, 36(4): 87-92. DOI: 10.3969/j.issn.1673-159X.2017.04.014 |
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| 作者姓名： | 陈文利 史艳维 冯晶晶 |
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| 作者单位： | 西安培华学院通识教育中心，陕西 西安 710125 |
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| 基金项目： | 国家自然科学基金项目11405128 |
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| 摘 要： | 利用超几何函数方法对Pekeris近似中心项的变形Woods-Saxon势任意l态Klein-Gordon方程的束缚态和散射态进行近似解析求解，推导出径向波函数和束缚态特征值方程，得到了散射态相移公式，并通过对散射振幅在极点解析性质的研究得到了束缚态能级, 最后讨论态的特例。
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| 关 键 词： | 变形的Woods-Saxon势场 束缚态和散射态 Klein-Gordon方程 近似解析解 |
| 收稿时间： | 2017-03-12 |
The Approximate Analytical Solutions of the Klein-Gordon Equation of The Deformed Woods-Saxon Potential |
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| CHEN Wenli,SHI Yanwei,FENG Jingjing. The Approximate Analytical Solutions of the Klein-Gordon Equation of The Deformed Woods-Saxon Potential[J]. Journal of Xihua University(Natural Science Edition), 2017, 36(4): 87-92. DOI: 10.3969/j.issn.1673-159X.2017.04.014 |
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| Authors: | CHEN Wenli SHI Yanwei FENG Jingjing |
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| Affiliation: | General Education Center, Xi'an Peihua University, Xi'an 710125 China |
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| Abstract: | Within a Pekeris-type approximation to the centrifugal term, the approximate analytical bound and scattering state solutions of the arbitrary l-wave Klein-Gordon equation for the deformed Woods-Saxon potential were carried out by using hypergeometric function method. The analytical radial wave functions of the l-wave Klein-Gordon equation with the deformed Woods-Saxon potential are presented and the corresponding energy equation for bound states and phase shifts for scattering states were derived by studying analytical properties of scattering amplitude. And the special case for s-wave was also studied briefly. |
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