Hartmann势Klein-Gordon方程的束缚态(英文)  

BOUND STATES OF KLEIN-GORDON EQUATION FOR HARTMANN SCALAR AND VECTOR POTENTIALS

作　　者：陆法林[1] 

机构地区：[1]盐城师范学院物理系,江苏盐城224002

出　　处：《安徽师范大学学报（自然科学版）》2005年第1期42-47,共6页Journal of Anhui Normal University(Natural Science)

基　　金：ProjectsupportedbytheNaturalScienceFoundationoftheEducationBureauofJiangsuPvovinceofChina .

摘　　要：用分离变量方法讨论了在Hartmann标量势和矢量势相等条件下Klein Gordon方程的束缚态解 .体系的性质与三个量子数及Hartmann势的势参数有关 .给出了用广义连带勒让得多项式表示的归一化角向波函数和用合流超几何函数表示的归一化径向波函数 ,获得了精确的束缚态能谱方程 .By using the usual method of variable separation, bound states of Klein-Gordon equation with equal Hartmann scalar and vector potentials are solved. Properties of the system relate to three quantum numbers and parameters of Hartmann potential. The normalized angle wave function expressed in terms of the universal associated-Legendre polynomial and the normalized radial wave function expressed in terms of the confluent hypergeometric function are presented. The exacl energy spectrum equations are obtained. Bound states of Klein-Gordon equation for Hydrogen potential are special cases for the Hartmann potential in the Letter.

关 键 词：束缚态 KLEIN-GORDON方程 标量势 合流超几何函数 矢量势 势参数 量子数 特例 数表 相等 

分 类 号：O413[理学—理论物理] G633[理学—物理]