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Lie Symmetries of Klein-Gordon and Schrödinger Equations

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Document pages: 11 pages

Abstract: In this paper, we investigate the Lie point symmetries of Klein-Gordon equationand Schr?dinger equation by applying the geometric concept of Noetherpoint symmetries for the below defined Lagrangian. Moreover, we organize astrong relationship among the Lie symmetries related to Klein-Gordon as wellas Schr?dinger equations. Finally, we utilize the consequences of Lie pointsymmetries of Poisson and heat equations within Riemannian space to concludethe Lie point symmetries of Klein-Gordon equation and Schr?dingerequation within universal Riemannian space.

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