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

Federico Petrovich¹

¹Departamento de Fisica, Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires Ciudad Universitaria, Buenos Aires, Argentina.

DOI: 10.4236/jmp.2015.69122                

Abstract

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.

Keywords

Lagrangian, Hamiltonian, Constant of Motion, Dissipation, Relativistic

Conflicts of Interest

The authors declare no conflicts of interest.

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