Prove that the action of a relativistic free particle in one dimension S = -mc dt with v = d.o/dt, it is symmetric under
Posted: Tue Apr 26, 2022 7:26 pm
Prove that the action of a relativistic free particle in one dimension S = -mc dt with v = d.o/dt, it is symmetric under Lorentz transformations between two inertial frames moving with speed u relative to each other, d'=(x- ut) t' =y(t – und Where a) Find the corresponding equations of motion. b) Show that in the case u/e < 1 the Lagrangian reduces to the non- relativistic case L = 1/2mv2 - mc?