一类n维非球谐振子势的精确解  

Exact solution of a kind of n-dimensions non-spherical harmonic oscillator potential

作　　者：龙超云[1] 陈明伦[2] 蔡绍洪[1] 

机构地区：[1]贵州大学物理系,贵阳550025 [2]贵州师范大学物理系,贵阳550002

出　　处：《物理学报》2003年第8期1858-1861,共4页Acta Physica Sinica

摘　　要：严格求解一类n维非球谐振子势的定态薛定谔方程 ,获得了归一化径向波函数和能谱的精确解 .在此基础上导出径向矩阵元 <nr,Ln|rs|n′r ,L′n >的通项公式 .In this paper, the Schrodinger equation with a non-spherical harmonic oscillator potential in n-dimensions is solved. The exact energy equation and the normalized wave function are obtained. The general formulas of matrix elements of operator r(2) are presented.

关 键 词：n维非球谐振子势 精确解 径向矩阵元 通项公式 定态薛定谔方程 量子力学 能谱 归一化径向波函数 

分 类 号：O413.1[理学—理论物理] O411.1[理学—物理]