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Lie Symmetries of Klein-Gordon and Schrödinger Equations
College of Mathematics, China University of Mining and Technology, Xuzhou, China
College of Mathematics, China University of Mining and Technology, Xuzhou, China
- 1 College of Mathematics, China University of Mining and Technology, Xuzhou, China
- 2 College of Mathematics, China University of Mining and Technology, Xuzhou, China
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Abstract
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.
KeywordsLie symmetries of Klein-Gordon EquationLie Symmetries of Schrödinger EquationNoether Point Symmetries Of Conformal Lagrangian<em>sl</em>(2R) AlgebraOscillator System
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