Direct, analytic solution for the electromagnetic vector potential in any gauge
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913923657105408 |
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| author | Yang, Kuo-Ho Nevels, Robert D. |
| author_facet | Yang, Kuo-Ho Nevels, Robert D. |
| contents | We derive an analytic solution for the electromagnetic vector potential in any gauge directly from Maxwell's equations for potentials for an arbitrary time-dependent charge-current distribution. No gauge condition is used in the derivation. Our solution for the vector potential has a gauge-invariant part and a gauge-dependent part. The gauge-dependent part is related to the scalar potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02104 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Direct, analytic solution for the electromagnetic vector potential in any gauge Yang, Kuo-Ho Nevels, Robert D. Classical Physics We derive an analytic solution for the electromagnetic vector potential in any gauge directly from Maxwell's equations for potentials for an arbitrary time-dependent charge-current distribution. No gauge condition is used in the derivation. Our solution for the vector potential has a gauge-invariant part and a gauge-dependent part. The gauge-dependent part is related to the scalar potential. |
| title | Direct, analytic solution for the electromagnetic vector potential in any gauge |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2507.02104 |