Non-commutative integration of Klein - Gordon equation on external electromagnetic fields with functional arbitrariness
The paper proposes a generalization of the non-commutative reduction of the relativistic wave equations in external electromagnetic fields that allow functional arbitrariness. Electromagnetic fields with functional arbitrariness are constructed that allow non-commutative integration of the wave relativistic Klein-Gordon equation with symmetry algebras containing the operator P <sub>0</sub>+ P <sub>3</sub>.