Derives Lagrangian mechanics for relativistic particles and fields from the postulates of special relativity, recovering E=mc² and Lorentz invariance of EM equations.
( 76), the Lagrangian of the Lorentz force is given by LL = −e(φ − A ·v) = −e(φ − A ·v)√ 1 − v2 c2 √ 1 − v2 c2
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Demystifying the Lagrangians of special relativity
Derives Lagrangian mechanics for relativistic particles and fields from the postulates of special relativity, recovering E=mc² and Lorentz invariance of EM equations.