2016•International Journal of Modern Physics BRequires access

Group classification and conservation laws of the generalized Klein–Gordon–Fock equation

Ben Muatjetjeja

Abstract

In the present paper, we perform Lie and Noether symmetries of the generalized Klein–Gordon–Fock equation. It is shown that the principal Lie algebra, which is one-dimensional, has several possible extensions. It is further shown that several cases arise for which Noether symmetries exist. Exact solutions for some cases are also obtained from the invariant solutions of the investigated equation.

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Key concepts: Noether's theorem, Conservation law, Homogeneous space, Mathematical physics, Fock space, Invariant (physics), Physics, Lie algebra