One Dimensional Relativistic Free Particle in a Quadratic Dissipative Medium

• 作者: G. C. Montes G. V. López J. G. T. Zanudo
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: LAGRANGIAN HAMILTONIAN Constant of Motion DISSIPATION RELATIVISTIC
• 年，卷（期）: 2015,（2）
• 页码范围: 121-125
• 页数: 5页
• 分类号: O1

摘要

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.<