环形Hartmann势的Schrdinger方程束缚态的精确解  

Exact Solutions of Bound States of the Schrdinger Equation with the Ring-Shaped 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：《西南师范大学学报（自然科学版）》2005年第4期657-661,共5页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：将环形Hartmann势的Schrdinger方程在球坐标系中进行变量分离,然后求解角向方程和径向方程,得出了精确的能谱方程,获得了归一化的角向和径向波函数,并给出了Hartmann势的径向矩阵元和径向平均值的通项表示式.The Schrodinger equation with the ring-shaped Hartmann potential is solved by using the usual method of variable separation in spherical polar coordinates. The exact energy equation is obtained by then solved angle equation and radial equation. The normalized angle wavefunction and radial wavefunction are presented. The general calculation formulas for radial matrix elements and radial average values of the Hartmann potential are obtained.

关 键 词：HARTMANN势 SCHRODINGER方程 能谱方程 归-化波函数 径向矩阵元 

分 类 号：O413.1[理学—理论物理]