高阶线性势Schrdinger方程的精确解  

Exact Solutions to the Schrdinger Equation for the Higher Order Linear Potential

作　　者：张伟[1] 陆法林[2] 

机构地区：[1]江苏大学材料学院,江苏镇江212013 [2]盐城师范学院物理科学与电子技术学院,江苏盐城224002

出　　处：《江西师范大学学报（自然科学版）》2009年第4期388-392,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(50375068);江苏省教育厅自然科学基金(05KJD140252)资助项目

摘　　要：高阶线性势是物理学中的一个重要模型势,对其Schrdinger方程的能级、波函数及其他性质的研究有重要意义.将高阶线性势的径向波函数展开为指数函数与多项式函数的乘积,应用多项式函数的系数关系确定了体系的能级和波函数研究.结果表明,体系处于束缚态时,势参数必须满足一定的约束条件.The higher order linear potential is an important model potential in physics. It is important significance to the research of the Schrodinger equation of energy level, the wave function and so on. The radial wave function of Schrodinger equation for the higher order linear potential can be written as the form of a product of an exponential function and a polynomial function. The exact energy and wave function of the potential are obtained by using the relation of the coefficient of the polynomial function. In the bound states, the results show that parameters in model potential have to be satisfied relevant restraint conditions.

关 键 词：高阶线性势 Schrdinger方程 精确解 

分 类 号：O413.1[理学—理论物理]