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The Lagrangian that corresponds to the Lorentz f orce is given by LL = −e(φ − A ·v), (76) where φ and A are respectively the electric and magnetic potentials as discussed in Ref

The Lorentz force, its Lagrangian The Lorentz force on a particle with charge e in Cartesian coordinates is given by FL =eE +ev × B, (75) where v is the particle’s velocity and

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Demystifying the Lagrangians of special relativity

physics.class-ph · 2021-07-04 · unverdicted · novelty 2.0

Derives Lagrangian mechanics for relativistic particles and fields from the postulates of special relativity, recovering E=mc² and Lorentz invariance of EM equations.

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  • Demystifying the Lagrangians of special relativity physics.class-ph · 2021-07-04 · unverdicted · none · ref 11

    Derives Lagrangian mechanics for relativistic particles and fields from the postulates of special relativity, recovering E=mc² and Lorentz invariance of EM equations.