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物理学报. 2005, 54(6): 2524-2527.
doi: 10.7498/aps.54.2524.
Hartmann势的Klein-Gordon方程束缚态解及递推关系
- 收稿日期: 2004-11-05
- 刊出日期: 2005-03-05
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.
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关键词:
- Hartmann势 /
- Klein-Gorgon方程 /
- 束缚态 /
- 递推关系
English Abstract
Bound states solutions of the Klein-Gordon equation with Hartmann potential and recursion relations
- Received Date:
05 November 2004
- Published Online:
05 March 2005
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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