English

Dimensional reduction of electromagnetism

Classical Physics 2022-02-17 v2 Quantum Physics

Abstract

We derive one- and two-dimensional models for classical electromagnetism by making use of Hadamard's method of descent. Low-dimensional electromagnetism is conceived as a specialization of the higher dimensional one, in which the fields are uniform along the additional spatial directions. This strategy yields two independent electromagnetisms in two spatial coordinates, and four independent electromagnetisms in one spatial coordinate.

Keywords

Cite

@article{arxiv.2111.10728,
  title  = {Dimensional reduction of electromagnetism},
  author = {Rocco Maggi and Elisa Ercolessi and Paolo Facchi and Giuseppe Marmo and Saverio Pascazio and Francesco V. Pepe},
  journal= {arXiv preprint arXiv:2111.10728},
  year   = {2022}
}

Comments

17 pages, 5 figures

R2 v1 2026-06-24T07:46:09.490Z