One Dimensional Relativistic Particle in a Quadratic Dissipative Medium Subjected to a Force That Depends on the Position

• 作者: Federico Petrovich
• 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）: xdwlyw_2015,（9）
• 页码范围: 1185-1188
• 页数: 4页
• 分类号: O1

摘要

We will find a constant of motion with energy units for a relativistic particle moving in a quadratic dissipative medium subjected to a force which depends on the position. Then, we will find the Lagrangian and the Hamiltonian of the equation of motion in a time interval such that the velocity does not change its sign. Finally, we will see that the Lagrangian and Hamiltonian have some problems.