幂函数叠加势的径向Schrdinger方程的精确解  

An Exact Solution to the Radial Schrdinger Equation of the Superposition potential

作　　者：崔立鹏[1] 胡先权[1] 梁林山[1] 

机构地区：[1]重庆师范大学物理与信息科学技术学院,重庆400047

出　　处：《山西师范大学学报（自然科学版）》2007年第2期55-58,共4页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：重庆市科委自然科学基金项目(2005BB8267);重庆市教育委基础理论研究基金(KJ060813)

摘　　要：本文对幂函数和逆幂函数V(r)=α1r8+α2r3+α3r2+3βr-1+β2r-3+β1r-4在多种相互作用幂函数紧密耦合的条件下,采用连续分数法进行求解,得到了叠加势的径向Schrdinger方程的精确解,进一步得出径向的波函数和量子化的能级,并作简单讨论.Using the continued fraction method, a precisely solute of the superposition potential with the power and invers-power potential V（r）=α1r^8＋α2r^3＋α3r^2＋β3r^-1＋β2r^-3＋β1r^-4 has been obtained under the tightly-coupled condition of the interactional power functions, the scope to solve equation has been extend, the radial quantum number of the energy levels and wave functions have been determined rightly and simply discussion.

关 键 词：连续分数法 SCHRODINGER方程 幂函数 精确解 

分 类 号：O29[理学—应用数学]