Note on Jackson's formalism of gauge transformation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917315619061760 |
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| author | Hnizdo, V. |
| author_facet | Hnizdo, V. |
| contents | An outline is given of how Jackson may have obtained the inhomogeneous wave equations for the auxiliary functions $Ψ$ and $\bf V$ in his influential 2002 AJP paper on the transformation from the Lorenz gauge to other electromagnetic gauges. It clarifies the roles of these functions in the calculation of the Coulomb-gauge vector potential ${\bf A}_C$ by showing that while ${\bf A}_C$ is given directly $\nabla\times{\bf V}$, only the subtraction of $\nablaΨ$ from the Lorenz-gauge vector potential ${\bf A}_L$ yields ${\bf A}_C$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17054 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on Jackson's formalism of gauge transformation Hnizdo, V. Classical Physics An outline is given of how Jackson may have obtained the inhomogeneous wave equations for the auxiliary functions $Ψ$ and $\bf V$ in his influential 2002 AJP paper on the transformation from the Lorenz gauge to other electromagnetic gauges. It clarifies the roles of these functions in the calculation of the Coulomb-gauge vector potential ${\bf A}_C$ by showing that while ${\bf A}_C$ is given directly $\nabla\times{\bf V}$, only the subtraction of $\nablaΨ$ from the Lorenz-gauge vector potential ${\bf A}_L$ yields ${\bf A}_C$. |
| title | Note on Jackson's formalism of gauge transformation |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2510.17054 |