Hartmann势的Klein-Gordon方程束缚态解及递推关系  

Bound states solutions of the Klein-Gordon equation with Hartmann potential and recursion relations

作　　者：陈子栋[1] 陈刚[1] 

机构地区：[1]绍兴文理学院物理系,绍兴312000

出　　处：《物理学报》2005年第6期2524-2527,共4页Acta Physica Sinica

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.The bound state solutions of the Klein-Gordon equation are obtained. When Hartmann-type scalar and vector potentials are equal. It is shown that the radial and angular wave functions are respectively expressed by confluent hypergeogetric and hypergeogetric functions. In addition, two kinds of recursion relations of radial wave functions for given 'principal' and 'angular-momentum' quantum numbers are also derived.

关 键 词：HARTMANN势 KLEIN-GORDON方程 束缚态 递推关系 相对论量子力学 

分 类 号：O411.1[理学—理论物理]