TITLE:
One Dimensional Relativistic Free Particle in a Quadratic Dissipative Medium
AUTHORS:
G. V. López, G. C. Montes, J. G. T. Zanudo
KEYWORDS:
Lagrangian, Hamiltonian, Constant of Motion, Dissipation, Relativistic
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.2,
February
16,
2015
ABSTRACT: The deduction of a constant of motion, a Lagrangian, and a Hamiltonian
for relativistic particle moving in a dissipative medium characterized by a
force which depends on the square of the velocity of the particle is done. It
is shown that while the trajectories in the space (x,v), defined by the
constant of motion, look as one might expected, the trajectories in the space (x,p),
defined by the Hamiltonian, have an odd behavior.