| Hartmann势的Klein-Gordon方程束缚态解及递推关系 |
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| 引用本文： | 陈子栋,陈刚. Hartmann势的Klein-Gordon方程束缚态解及递推关系[J]. 物理学报, 2005, 54(6): 2524-2527 |
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| 作者姓名： | 陈子栋 陈刚 |
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| 作者单位： | 绍兴文理学院物理系，绍兴 312000 |
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| 摘 要： | 给出了在Hartmann型标量势与矢量势相等的条件下其Klein-Gordon方程束缚态解.结果表明 ，径向波函数可用广义Laguerre多项式表示，其角向波函数可用Legendre多项式表示.另外 ，给出了径向波函数关于角量子数l和量子数n的二类新递推关系.关键词：Hartmann势Klein-Gorgon方程束缚态递推关系
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| 关 键 词： | Hartmann势 Klein-Gorgon方程 束缚态 递推关系 |
| 文章编号： | 1000-3290/2005/54(06)2524-04 |
| 收稿时间： | 2004-11-05 |
Bound states solutions of the Klein-Gordon equation with Hartmann potential and recursion relations |
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| CHEN ZI-DONG,Chen Gang. Bound states solutions of the Klein-Gordon equation with Hartmann potential and recursion relations[J]. Acta Physica Sinica, 2005, 54(6): 2524-2527 |
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| Authors: | CHEN ZI-DONG Chen Gang |
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| Abstract: | The bound state solutions of the Klein_Gordon equation are obtained.When Hartman n_type scalar and vector potentials are equal. It is shown that the radial and a ngular wave functions are respectively expressed by confluent hypergeogetric an d hypergeogetric functions. In addition, two kinds of recursion relations of ra dial wave functions for given ‘principal' and ‘angular-momentum' quantum numb ers are also derived. |
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| Keywords: | Hartmann potential Klein_Gordon equation bound state recursion relatoon |
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