Prove that the action of a relativistic free particle in one dimension S = -mc dt with v = d.o/dt, it is symmetric under

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Prove That The Action Of A Relativistic Free Particle In One Dimension S Mc Dt With V D O Dt It Is Symmetric Under 1 (28.9 KiB) Viewed 25 times

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?