Charged particle in an electromagnetic field using variational integrators

Abstract

In the present work we extend the discrete Lagrangian integrator method presented in Ref. [1] to derive appropriate numerical maps for the solution of mechanical problems in which the potential energy depends on the velocity of the system. As a representative concrete example and simulated experiment of the method presented here, we examine the motion of a charged particle moving in an electromagnetic field. © 2011 American Institute of Physics.