Behavior of Scalar and Spin1/2 Particles in the Field of Two Intense Electromagnetic Waves

摘要

A method for the approximate solution of the Klein-Gordon and Dirac equations for charged particles in the presence of two electromagnetic, noncollinear, transverse plane waves has been developed. The solution to the Klein-Gordon equation is a product of functions which are either solutions to linear, ordinary differential equations of the Hill type or solutions to a Volkov equation. It is shown that solutions to the Dirac equation can be constructed from sums of functions similar to those mentioned above. The mass-energy relation in this approximation has a complicated dependence on the field strengths and particle momentum. In particular, it was found that a slowly moving particle in an intense standing electromagnetic wave has a mass shift of order (V squared)/(C squared) times that given by second order perturbation theory. Here V is the component of particle velocity perpendicular to the direction of propagation of the waves. (Author)