Relativistic Dynamics

This lecture explores the transformation of Newton's second law in the context of Einstein's relativity and Lorentz transformations. It discusses the local rest frame for proper time of a world line system, the invariance of equations under Lorentz transformations, and the relationship between relativistic and Newtonian impulse. The lecture also delves into the concept of energy in special relativity, highlighting the equivalence of physical quantities in different inertial frames. Examples are provided to illustrate the application of relativistic dynamics in scenarios involving charged particles in electric fields. The lecture concludes by comparing relativistic trajectories with Newtonian solutions and calculating proper time for a given solution.