Exact Solutions of the Morse-like Potential,Step-Up and Step-Down Operators via Laplace Transform Approach  

作　　者：Altug Arda Ramazan Sever 

机构地区：[1]Department of Physics Education,Hacettepe University [2]Department of Physics,Middle East Technical University

出　　处：《Communications in Theoretical Physics》2012年第7期27-30,共4页理论物理通讯（英文版）

基　　金：supported by the Scientific and Technical Research Council of Turkey

摘　　要：We intend to realize the step-up and step-down operators of the potential V (x) = V1 e 2βx+V2 e βx. It is found that these operators satisfy the commutation relations for the SU(2) group. We find the eigenfunctions and the eigenvalues of the potential by using the Laplace transform approach to study the Lie algebra satisfied the ladder operators of the potential under consideration. Our results are similar to the ones obtained for the Morse potential (β→β).

关 键 词：exact solution laplace transform non-central potential Schrdinger equation 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]