Hellmann-改良Kratzer势Schrodinger方程的散射态解  

The Scattering States of Schr dinger Equation with Hellmann-modified Kratzer Potential

作　　者：陈文利[1] 邢瑞芳 胡艳[1] CHEN Wenli;XING Ruifang;HU Yan(School of Intelligent Science and Information Engineering,Xi'an Peihua University,Xi'an 710125,China)

机构地区：[1]西安培华学院智能科学与信息工程学院,陕西西安710125

出　　处：《杭州师范大学学报（自然科学版）》2020年第2期220-224,共5页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11405128);陕西省教育厅专项科学研究项目(19JK0635).

摘　　要：对离心项采用指数形式的近似,本文研究了具有Hellmann-改良Kratzer势的薛定谔方程的散射态问题,得到了归一化的散射态波函数和相应的散射相移,同时利用散射振幅解析性质获得了束缚态能级满足的方程.最后,数值求解特征值方程并和真实值数据进行了对比.Within a proper exponential form approximation to the centrifugal term,the analytical scattering state of Schr dinger equation with Hellmann-modified Kratzer potential is studied.The normalized analytical radial wave functions are presented and the corresponding scattering phase shifts are derived.Moreover,the equations satisfying the energy level of the bound state are obtained by the analytical properties of scattering amplitude.Finally,eigenvalue equations are numerically solved and compared with the real value data.

关 键 词：Hellmann-改良Kratzer势 散射态 薛定谔方程 近似解析解 

分 类 号：O431.1[机械工程—光学工程]