2009/10/24 by G. V. Lopez, Gustavo V. López, G. C. Montes +5
Physics and Astronomy · #Classical Physics (physics.class-ph) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #physics.class-ph #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.0910.4685
5 pages, 4 figures
arxiv created 2009/10/24 · openalex publication_date 2009/10/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.