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Geometrical meaning of Lorentz equation?

  1. Apr 28, 2003 #1
    Could we give a geometrical meaning of the Lorentz equation

    mx´´=e(vxB)+eE...similar to that of gravitation..by considering that

    e(vxB)+eE comes from a potential..and the electrons are moving in geodesics?..
  2. jcsd
  3. Apr 28, 2003 #2


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    If the electron is moving in an EM field then it's not moving on a geodesic unless the force on the electron is zero. There are circumstances such that the electron is moving in an EM field and force free but not in general.

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