Lie Symmetries of Klein-Gordon and Schrödinger Equations

• 作者: Muhammad Iqbal Yufeng Zhang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: LIE SYMMETRIES of KLEIN-GORDON EQUATION LIE SYMMETRIES of Schr?dinger EQUATION NOETHER Point SYMMETRIES Of CONFORMAL Lagrangian sl (2 R) Algebra Oscillator System
• 年，卷（期）: yysxyw_2018,（3）
• 页码范围: 336-346
• 页数: 11页
• 分类号: O1

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.