Analytical solutions of the Dirac and the Klein-Gordon equations in plasma induced by high-intensity laser

In this paper we obtain analytical solutions of the Dirac and the Klein-Gordon equations coupled to a strong electromagnetic wave in the presence of a plasma environment. These are a generalization of the familiar Volkov solutions. The contribution of the nonzero photon effective mass to the scalar and fermion wave functions, conserved quantities, and effective mass is demonstrated. The wave functions exhibit differences from Volkov solutions for nowadays available laser intensity.