Electron in the field of two plane electromagnetic waves and an inhomogeneous electric field

This work examines the motion of an electron in an electromagnetic field consisting of the field of two plane electromagnetic waves of different frequencies ₁, ₂ and an electric fieldE'=(E₀ + E₃cos₃)e₃. The method of separation of variables is used to construct the solution of the Hamilton-Jacobi equation. The motion of the electron in the external electromagnetic field is described by those solutions of the Dirac equation coinciding with the eigenfunctions of the commutating operators.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 89–94, February, 1982.