含修正Yukawa-Kratzar势场的Schrödinger方程束缚态解析解  

The Bound State Analytical Solutions of Schrödinger Equation with the Modified Yukawa-Kratzer Potential Model

作　　者：陈文利[1] 史艳维[1] 冯晶晶[1] 樊亚云[1] CHEN Wen-li;SHI Yan-wei;FENG Jing-jing;FAN Ya-yun(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）》2023年第1期41-46,共6页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(11965008).

摘　　要：采用Greene-Aldrich指数型近似方法近似表达径向方程非线性离心项,利用P-NU方法研究了含修正Yukawa-Kratzar势场的Schrödinger方程束缚态解析解问题,得到了归一化的束缚态波函数和相应能量本征值方程,数值求解能量本征值方程并和真实值数据进行了对比。The nonlinear centrifugal terms of the radial equation are approximated by the Greene-Aldrich exponen-tial form approximation method.The bound state analytical solution of the Schrodinger equation with improved Yukwa-Kratzar potential is studied by P-NU method.The normalized bound state wave function and correspond-ing energy eigenvalues are obtained.The energy eigenvalue equation is solved numerically and compared with the real value data.

关 键 词：修正Yukawa-Kratzar势场 束缚态 薛定谔方程 近似解析解 

分 类 号：O365[理学—流体力学]