Analytical Solutions of the Dirac and the Klein-Gordon Equations in Plasma Induced by High Intensity Laser

TL;DR

This paper derives analytical solutions for Dirac and Klein-Gordon equations in plasma under intense laser fields, highlighting the effects of photon effective mass on wavefunctions, which differ from traditional Volkov solutions at current laser intensities.

Contribution

It generalizes Volkov solutions by incorporating plasma effects and photon effective mass, providing new wavefunctions and insights into particle behavior in high-intensity laser plasma.

Findings

Photon effective mass influences wavefunctions and conserved quantities.

New solutions differ from Volkov solutions at current laser intensities.

Demonstrates the role of plasma environment in quantum wavefunctions.

Abstract

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 plasma environment. These are a generalization of the familiar Volkov solutions. The contribution of the non-zero photon effective mass to the scalar and fermion wavefunctions, conserved quantities and effective mass is demonstrated for the first time. The new wavefunctions exhibit differences from Volkov solutions for nowadays available laser intensity.