Charged Particle in an Electromagnetic Field Using Variational Integrators

@inproceedings{Kosmas2012ChargedPI,
  title={Charged Particle in an Electromagnetic Field Using Variational Integrators},
  author={O. T. Kosmas},
  year={2012}
}
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.