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arXiv · 2111.10728

Dimensional reduction of electromagnetism

Rocco Maggi·Elisa Ercolessi·Paolo Facchi·Giuseppe Marmo·Saverio Pascazio·Francesco V. Pepe
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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.

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Rocco Maggi, Elisa Ercolessi, Paolo Facchi, Giuseppe Marmo, Saverio Pascazio, Francesco V. Pepe. 2021-11-11. Dimensional reduction of electromagnetism. https://doi.org/10.1063/5.0079363

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