Hartmann势的Klein-Gordon方程的束缚态解  

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

作　　者：陈子栋[1] 

机构地区：[1]绍兴文理学院物理系,浙江绍兴312000

出　　处：《浙江师范大学学报（自然科学版）》2005年第3期261-264,共4页Journal of Zhejiang Normal University:Natural Sciences

摘　　要：讨论了Hartmann型标量势与矢量势相等的条件下Klein-Gordon方程的束缚态解.对变量分离后的角向θ和径向r的Klein-Gordon方程应用级数解法.结果表明,径向波函数可用广义Laguerre多项式表示,角向波函数可用超几何函数表示,并给出了归一化的波函数.The bound states of Klein-Gordon equation with scalar and vector Hartmann-type potentials were discussed. The separated variables Klein-Gordon equation of the angle θ and the radial r was solved by series expansion method. It was showed that the radial wave functions could be expressed respectively by generalized Laguerre polynomial hypergeogetric functions and angular wave functions. The normalized wavefunction was also presented.

关 键 词：HARTMANN势 KLEIN-GORDON方程 束缚态 能量方程 归一化波函数 

分 类 号：O413.1[理学—理论物理]