以超对称量子力学求解薛定鄂方程的几例  

A Few Solutions for the Schrdinger Equation in Supersymmetric Quantum Mechanics

作　　者：刘克家[1] 朱涛[1] 

机构地区：[1]贵州工业大学冶金系,贵州贵阳550003

出　　处：《贵州工业大学学报（自然科学版）》2002年第2期23-25,43,共4页Journal of Guizhou University of Technology(Natural Science Edition)

基　　金：贵州省科技基金项目 (黔基计字 2 0 0 0 3 0 2 1)

摘　　要：超对称量子力学求解薛定鄂方程的关键是求解黎卡提微分方程 ,由黎卡提方程求解的讨论 ,系统地得出了方程的数种可解情况 ,各可解情况对应着不同的超对称势函数 。Solving the Riccati equation is a key to solving the Schrdinger equantion in supersymmetric quantum mechanics. Through studying the Riccati equation systematically, a number of solutions for it are obtained. As different solutions correspond to different supersymmetric potential functions, some solutions for the Schrdinger equation with different potentials are discussed.

关 键 词：薛定鄂方程 超对称量子力学 特殊函数 黎卡提方程 

分 类 号：O413.1[理学—理论物理]