Lie Symmetries of Klein-Gordon and Schrodinger Equations  

作　　者：Muhammad Iqbal Yufeng Zhang 

机构地区：[1]College of Mathematics,China University of Mining and Technology,Xuzhou,China

出　　处：《Applied Mathematics》2018年第3期336-346,共11页应用数学（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11371361);the Innovation Team of Jiangsu Province hosted by China University of Mining and Technology(2014);the Key Discipline Construction by China University of Mining and Technology(Grant No.XZD 201602).

摘　　要：In this paper, we investigate the Lie point symmetries of Klein-Gordon equation and Schr?dinger equation by applying the geometric concept of Noether point symmetries for the below defined Lagrangian. Moreover, we organize a strong relationship among the Lie symmetries related to Klein-Gordon as well as Schr?dinger equations. Finally, we utilize the consequences of Lie point symmetries of Poisson and heat equations within Riemannian space to conclude the Lie point symmetries of Klein-Gordon equation and Schr?dinger equation within universal Riemannian space.In this paper, we investigate the Lie point symmetries of Klein-Gordon equation and Schr?dinger equation by applying the geometric concept of Noether point symmetries for the below defined Lagrangian. Moreover, we organize a strong relationship among the Lie symmetries related to Klein-Gordon as well as Schr?dinger equations. Finally, we utilize the consequences of Lie point symmetries of Poisson and heat equations within Riemannian space to conclude the Lie point symmetries of Klein-Gordon equation and Schr?dinger equation within universal Riemannian space.

关 键 词：Lie symmetries of Klein-Gordon Equation Lie Symmetries of Schrodinger Equation Noether Point Symmetries Of Conformal Lagrangian sl(2 R)Algebra Oscillator System 

分 类 号：O1[理学—数学]