Massive photons in particle and laser physics

Abstract

The massive electrodynamics is applied to the Dirac equation to find the generalized Volkov solution with massive photon field. The resulting equation is the Riccati equation which cannot be solved in general. We use the approximative Volkov function for massive photons and then consider an electron in the periodic field and in the laser pulse of the delta-function form. We derive the modified Compton formulas for the interaction of the multiphoton object with an electron for both cases.