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Lie Symmetries of Klein-Gordon and Schrödinger Equations

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DOI: 10.4236/am.2018.93025    455 Downloads   823 Views

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.

Cite this paper

Iqbal, M. and Zhang, Y. (2018) Lie Symmetries of Klein-Gordon and Schrödinger Equations. Applied Mathematics, 9, 336-346. doi: 10.4236/am.2018.93025.

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