Hellmann-广义Morse势Schrdinger方程的散射态解  

The Scattering States of Schrdinger Equation with Hellmann-generalized Morse Potential Model

作　　者：陈文利[1] 樊亚云[1] 殷娟娟[1] CHEN Wenli;FAN Yayun;YIN Juanjuan(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：《西华大学学报（自然科学版）》2018年第5期102-107,共6页Journal of Xihua University:Natural Science Edition

基　　金：国家自然科学基金项目(11405128);西安培华学院重点科研项目(PHKT17002)

摘　　要：基于对离心项的恰当近似,本文研究了具有Hellmann-广义Morse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 approximation to the centrifugal term, the analytical scattering state of Schr dinger equation 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 bound state energy levels of the studied quantum system are found at the poles of scattering amplitude. Finally, we present some numerical energy levels calculated form energy equation and compare them with exact value.

关 键 词：Hellmann-广义Morse势 散射态 薛定谔方程 

分 类 号：O413.1[理学—理论物理]