TITLE:
Lie Symmetries of Klein-Gordon and Schrödinger Equations
AUTHORS:
Muhammad Iqbal, Yufeng Zhang
KEYWORDS:
Lie symmetries of Klein-Gordon Equation, Lie Symmetries of Schrödinger Equation, Noether Point Symmetries Of Conformal Lagrangian, sl (2, R) Algebra, Oscillator System
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.3,
March
30,
2018
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.