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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.01004 |
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| _version_ | 1866910094391771136 |
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| author | Hoermann, Guenther Tassotti, Nathalie |
| author_facet | Hoermann, Guenther Tassotti, Nathalie |
| contents | We apply Colombeau-type regularization to the electromagnetic field of a point-charge and show how the Liénard-Wiechert potential can be derived from a generalized function based on the geometry of Minkowski space. Furthermore, for a charged particle in its rest frame, we discuss the electric monopole, magnetic dipole, electron singularity, and self-energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01004 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Regularizations of point charges, the Liénard-Wiechert potential, and the electron self-energy Hoermann, Guenther Tassotti, Nathalie Mathematical Physics 46F30, 78A35 We apply Colombeau-type regularization to the electromagnetic field of a point-charge and show how the Liénard-Wiechert potential can be derived from a generalized function based on the geometry of Minkowski space. Furthermore, for a charged particle in its rest frame, we discuss the electric monopole, magnetic dipole, electron singularity, and self-energy. |
| title | Regularizations of point charges, the Liénard-Wiechert potential, and the electron self-energy |
| topic | Mathematical Physics 46F30, 78A35 |
| url | https://arxiv.org/abs/2604.01004 |