Motion of a Charged Particle in a Strong Magnetic Field as a Lagrangian Linear in Velocities

Abstract

The motion of a charged particle in a magnetic field as a Lagrangian system that varies linearly with the velocities is analyzed using the Hamilton-Jacobi method. The equations of motion are derived as a result of considering the integrability conditions of the action function in the limit of a strong field.

Keywords: Electrodynamics; Lagrangian; Action integral; Hamilton-Jacobi.

PACS No.: 11.10.Ef.