Abstract
The process of multiple Compton scattering, \(e\gamma \to e(N\gamma )\) , is considered in a strongly magnetized, charge-asymmetric, cold electron-positron plasma. The special case of process—the Double Compton scattering is considered. The amplitudes for both processes are derived in the general case, where electrons can occupy arbitrary Landau levels. An expressions for the amplitude of the Double Compton process in the magnetar case have been obtained. The double Compton scattering under considered conditions is shown to be an efficient process for the production of polarized photons.
