Maxwell's Equations, Fields or Potentials?

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Abstract

Fields and potentials of Maxwell's Equations transform differently under the Lorentz transformation. Electric and magnetic fields are tridimensional objects which transform like massless fields as a subgroup of the Lorentz group. On the other hand, potentials are four-vectors. Therefore interactions of the electromagnetic fields with four-currents of massive particles cannot be achieved with fields, but only with potentials. Thus potentials seemed to be preferable and a correction to Maxwell's equations seemed unavoidable. We have generalized the Maxwell's equations, with 4-vector fields to allow interaction with currents. We suggest a new way to define the potentials and relate them to the new fields.

Original languageEnglish
Article number012020
JournalJournal of Physics: Conference Series
Volume1239
Issue number1
DOIs
StatePublished - 20 May 2019
Event11th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, IARD 2018 - Merida, Yucatan, Mexico
Duration: 4 Jun 20187 Jun 2018

Keywords

  • Generalized Maxwell's Equations
  • Maxwell's Equations
  • any spin
  • massless particles

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