改进的Tietz-Hua势场Schrödinger方程的散射态解  

The Scattering States of Schrödinger Equation with the Modified Tietz-Hua Potential Model

作　　者：陈文利[1] 冯晶晶[1] 胡艳[1] CHEN Wen-li;FENG Jing-jing;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：《安徽师范大学学报（自然科学版）》2021年第4期330-335,361,共7页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(11965008);陕西省教育厅专项科学研究项目(19JK0635).

摘　　要：对非线性离心项采用Pekeris类型的近似方法处理,解析求解含优化参数的改进Tietz-Hua势场的薛定谔方程散射态问题。通过对散射振幅在极点的解析性质得到束缚态能级方程,并通过与先前模型的本征值数据对比,验证了本文解析解推导的正确性。By using the Pekeris type approximation method to deal with the nonlinear centrifugal term,the scattering state problem of the Schrodinger equation for modified Tietz-Hua potential with optimized parameters is solved analytically.The bound state energy level equation is obtained by studying the analytical properties of the scattering amplitude at the poles,and the correctness of the derivation of the analytical solution is verified by comparing with the eigenvalue data of the previous model.

关 键 词：改进的Tietz-Hua势 散射态 薛定谔方程 解析解 

分 类 号：O365[理学—流体力学]