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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.
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.