Stimulated Emission of Radiation by Relativistic Electrons in a Magnetic Field

Abstract

The Schroedinger equation of an electrons moving perpendicularly to a magnetic field H, can be reduced to the equation of the harmonic oscillator. Using the relativistic Schroedinger equation and neglecting the spin, equations are found for the kinetic energy levels of the electron. Formulas were derived by means of the Boltzman transfer equation, taking into account the dependence of the electron mass on kinetic energy. (A.C.)