Hellmann-广义Morse势Klein-Gordon方程的散射态解  

The Scattering States of Klein-Gordon Equation with the Hellmann-generalized Morse Potential

作　　者：陈文利[1] 冯晶晶[1] CHEN Wenli;FENG Jingjing(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

出　　处：《杭州师范大学学报（自然科学版）》2019年第6期676-680,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计划项目(19JK0635)

摘　　要：对非线性离心项采用恰当的近似办法,研究了具有Hellmann-广义Morse势的Klein-Gordon方程的散射态问题,推导了归一化的散射态波函数和相应的散射相移公式,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 approximation to the nonlinear centrifugal term,the analytical scattering state of Klein-Gordon for the Hellmann-generalized Morse potential is studied.The normalized analytical radial wave functions are presented and the corresponding scattering phase shifts are derived.Moreover,the equation for the bound state energy levels is obtained using the analytical properties of scattering amplitude.Finally,the eigenvalue equation is numericallly sovled,and the data is compared with the exact value data.

关 键 词：Hellmann-广义Morse势 散射态 KLEIN-GORDON方程 

分 类 号：O413.1[理学—理论物理]