One Dimensional Relativistic Free Particle in a Quadratic Dissipative Medium

G. V. López^*, G. C. Montes, J. G. T. Zanudo

Departamento de Fsica, Universidad de Guadalajara, Guadalajara, México.

DOI: 10.4236/jmp.2015.62016                

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.<

Keywords

Lagrangian, Hamiltonian, Constant of Motion, Dissipation, Relativistic

Conflicts of Interest

The authors declare no conflicts of interest.

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