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by Ciro Santilli (@cirosantilli, 37)

Maxwell's equations with pointlike particles

 ... Natural science Physics Particle physics Electromagnetism Maxwell's equations Solutions of Maxwell's equations
 0 By others on same topic  0 Discussions  Updated 2025-05-23  +Created 1970-01-01  See my version
In the standard formulation of Maxwell's equations, the electric current is a convient but magic input.
Would it be possible to use Maxwell's equations to solve a system of pointlike particles such as electrons instead?
The following suggest no, or only for certain subcases less general than Maxwell's equations:
  • physics.stackexchange.com/questions/498892/solution-to-maxwell-lorentz-equations
  • physics.stackexchange.com/questions/380741/complete-classical-description-of-two-interacting-charges
This is the type of thing where the probability aspect of quantum mechanics seems it could "help".

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