Separation of variables in Hamilton–Jacobi and Klein–Gordon–Fock equations for a charged test particle in the stackel spaces of type (1.1)

All equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces provided that Hamilton–Jacobi equation Klein–Gordon–Fock a charged test particle can be integrated by the method complete separation variables are found. The is carried out using sets mutually commuting integrals motion type (1.1) whereby in privileged coordinate system, given equations turn into parabolic equations. Hence, these used as models describing plane gravitational waves.