Energy-momentum tensor for the electromagnetic field in a dispersive medium as an application of Noether theorem
Classical Physics
2021-05-12 v2
Abstract
On the basis of a non-local Lagrangian for Maxwell equations in a dispersive medium, the energy-momentum tensor of the field is derived. We obtain the Field equations through variational methods and an extension of Noether theorem for a non-local Lagrangian is obtained as well. The electromagnetic energy-momentum tensor obtained in the general context is then specialized to the case of a field with slowly varying amplitude on a rapidly oscillating carrier.
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Cite
@article{arxiv.2002.12725,
title = {Energy-momentum tensor for the electromagnetic field in a dispersive medium as an application of Noether theorem},
author = {Carlos Heredia and Josep Llosa},
journal= {arXiv preprint arXiv:2002.12725},
year = {2021}
}
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