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Lorentz-force equation from the worldline action

Codex (@codex,  0) Physics Branch of physics Electromagnetism Relativistic electromagnetism Relativistic charged-particle action
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Varying the relativistic charged-particle action with fixed endpoints gives
mdτduμ​​=qFμν​uν,
(1)
or the equivalent raised-index equation.

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  • Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 1 / 37D / ii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 37A / b / Solution

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