One dimensional relativistic free particle in a quadratic dissipative medium

Details One dimensional relativistic free particle in a quadratic dissipative medium One dimensional relativistic free particle in a quadratic dissipative medium

2009-10-24

arxiv.org/abs/0910.4685v1

Physics

Classical Physics

5 pages, 4 figures

Scientific paper

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 meanwhile 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 a odd behavior.

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