Special conformal transformations in electrodynamics: mathematical foundations
We review the theory of special conformal transformations, deriving the transformation formulas for some important tensors and tensor densities, to the point where we are able to understand the conformal invariance of Maxwell’s equations. The invariant relativistic action reveals that the rest mass...
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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
2025-02-01
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| Series: | Revista Brasileira de Ensino de Física |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100406&lng=en&tlng=en |
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| _version_ | 1849722952879177728 |
|---|---|
| author | Călin Galeriu |
| author_facet | Călin Galeriu |
| author_sort | Călin Galeriu |
| collection | DOAJ |
| description | We review the theory of special conformal transformations, deriving the transformation formulas for some important tensors and tensor densities, to the point where we are able to understand the conformal invariance of Maxwell’s equations. The invariant relativistic action reveals that the rest mass of a particle is a scalar density, while its electric charge is a scalar. |
| format | Article |
| id | doaj-art-c53130d7bbab43048b3268e06bbc3eb6 |
| institution | DOAJ |
| issn | 1806-9126 |
| language | Portuguese |
| publishDate | 2025-02-01 |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj-art-c53130d7bbab43048b3268e06bbc3eb62025-08-20T03:11:10ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262025-02-014710.1590/1806-9126-rbef-2024-0396Special conformal transformations in electrodynamics: mathematical foundationsCălin Galeriuhttps://orcid.org/0000-0001-7986-5071We review the theory of special conformal transformations, deriving the transformation formulas for some important tensors and tensor densities, to the point where we are able to understand the conformal invariance of Maxwell’s equations. The invariant relativistic action reveals that the rest mass of a particle is a scalar density, while its electric charge is a scalar.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100406&lng=en&tlng=enWeyl spacespecial conformal transformationselectrodynamics |
| spellingShingle | Călin Galeriu Special conformal transformations in electrodynamics: mathematical foundations Revista Brasileira de Ensino de Física Weyl space special conformal transformations electrodynamics |
| title | Special conformal transformations in electrodynamics: mathematical foundations |
| title_full | Special conformal transformations in electrodynamics: mathematical foundations |
| title_fullStr | Special conformal transformations in electrodynamics: mathematical foundations |
| title_full_unstemmed | Special conformal transformations in electrodynamics: mathematical foundations |
| title_short | Special conformal transformations in electrodynamics: mathematical foundations |
| title_sort | special conformal transformations in electrodynamics mathematical foundations |
| topic | Weyl space special conformal transformations electrodynamics |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172025000100406&lng=en&tlng=en |
| work_keys_str_mv | AT calingaleriu specialconformaltransformationsinelectrodynamicsmathematicalfoundations |