Variational electrodynamics of Atoms

@article{Luca2012VariationalEO,
  title={Variational electrodynamics of Atoms},
  author={J. D. Luca},
  journal={arXiv: Classical Physics},
  year={2012}
}
  • J. D. Luca
  • Published 2012
  • Physics
  • arXiv: Classical Physics
We generalize Wheeler-Feynman electrodynamics by the minimization of a finite action functional defined for variational trajectories that are required to merge continuously into given past and future boundary segments. We prove that the boundary-value problem is well-posed for two classes of boundary data and show that the well-posed solution in general has velocity discontinuities, henceforth broken extrema. Along regular segments, broken extrema satisfy the Euler-Lagrange neutral differential… Expand

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