改良的Rosen-Morse势Klein-Gordon方程解析解  

The scattering states of the Klein-Gordon equation with the modified Rosen-Morse potential

作　　者：韩星明 陈文利[2] 樊亚云[2] 卫高峰 HAN Xingming;CHEN Wenli;FAN Yayun;WEI Gaofeng(School of Physics&-Optoelectronic Technology,Baoji University of Arts&-Sciences,Baoji 721016,China;School of Intelligent Science&-Information Engineering,Xi'an Peihua University,Xi'an 710125,China;School of Mechanical&-Material Engineering,Xi'an University,Xi'an 710065,China)

机构地区：[1]宝鸡文理学院物理与光电技术学院,陕西宝鸡721016 [2]西安培华学院智能科学与信息工程学院,西安710125 [3]西安文理学院机械与材料工程学院,西安710065

出　　处：《扬州大学学报（自然科学版）》2018年第1期15-18,共4页Journal of Yangzhou University：Natural Science Edition

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

摘　　要：基于非线性离心项Pekeris型的近似,利用超几何函数法研究了任意l态改良Rosen-Morse势的Klein-Gorden方程的近似散射态问题,推导出归一化的散射态波函数和相应的相移公式,得到了散射振幅解析极点相应的束缚态能级方程,数值结果验证了结果的准确性.Within a Pekeris-type approximation to the centrifugal term,the approximate analytical scattering state solutions of the arbitrary Z-wave Klein-Gordon equation for the modified Rosen-Morse potential are carried out by using hypergeometric function method.The normalized analytical radial wave functions are presented and corresponding scattering phase shifts are derived.The corresponding bound state energy levels are also obtained from the poles of the scattering amplitude.Some numerical results are calculated to show the improved accuracy of the results.

关 键 词：改良的Rosen-Morse势 Klein-Gorden方程 散射态 近似解析解 

分 类 号：O413.1[理学—理论物理]