ABSTRACT
In the absence of the dissipation of energy, one expects that the laws of Classical Mechanics should have time-reversal symmetry. However, this requires careful analysis as made in this chapter where we analyze conditions for time-reversal symmetry of the laws used to predict the movement of objects in classical mechanics according to the Hamiltonian formalism and show some examples. In this chapter, we analyze cases where this symmetry does not exist even for ideal and conservative systems, in the presence of interactions which produce forces dependent on velocity, as is the case of the motion acquired by a charged particle subject to a magnetic field.
