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

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.

6 pages. I intend to submit to Phys. Rev. A

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• Theory of Radiative Electron Polarization in Strong Laser Fields
• Classical and quantum particle dynamics in univariate background fields
• Classical and quantum dynamics of a charged scalar particle in a background of two counterpropagating plane waves
• Nonlinear Compton scattering of an ultra-intense laser pulse in a plasma
• A Novel Solution to the Klein-Gordon Equation in the Presence of a Strong Rotating Electric Field
• Frequency scaling law for nonlinear Compton and Thomson scattering: Relevance of spin and polarization effects
• Lagrangian geometrical optics of nonadiabatic vector waves and spin particles
• The Lagrangian Formulation of Strong-Field QED in a Plasma
• Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field
• Semi-classical limitations for photon emission in strong external fields
• Nonlinear QED in an ultrastrong rotating electric field: Signatures of the momentum-dependent effective mass
• Spin-polarized current, spin-transfer torque and spin Hall effect in presence of an electromagnetic non-minimal coupling