dorsal/arxiv
View SchemaOn the physical meaning of the gauge conditions of Classical Electromagnetism : the hydrodynamics analogue viewpoint
| Authors | Germain Rousseaux |
|---|---|
| Categories | |
| ArXiv ID | physics/0511047 |
| URL | https://arxiv.org/abs/physics/0511047 |
| Journal | Annales de la Fondation Louis de Broglie 28, N02 (2003) 261-269 |
Abstract
Based on an analogy between Fluid Mechanics and Electromagnetism, we claim that the gauge conditions of Classical Electromagnetism are not equivalent contrary to the common belief. These "gauges" are usually considered as mathematical conditions that one must specify in order to solve any electromagnetic problem. Here, the author shows that these conditions are physical constraints which can be interpreted as electromagnetic continuity equations. As a consequence, light cannot be considered as a pure transverse wave in vacuum from the point of view of the potentials. We discuss the (lack of) meaning of gauge transformations.
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"abstract": "Based on an analogy between Fluid Mechanics and Electromagnetism, we claim\nthat the gauge conditions of Classical Electromagnetism are not equivalent\ncontrary to the common belief. These \"gauges\" are usually considered as\nmathematical conditions that one must specify in order to solve any\nelectromagnetic problem. Here, the author shows that these conditions are\nphysical constraints which can be interpreted as electromagnetic continuity\nequations. As a consequence, light cannot be considered as a pure transverse\nwave in vacuum from the point of view of the potentials. We discuss the (lack\nof) meaning of gauge transformations.",
"arxiv_id": "physics/0511047",
"authors": [
"Germain Rousseaux"
],
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"physics.class-ph",
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"journal_ref": "Annales de la Fondation Louis de Broglie 28, N02 (2003) 261-269",
"title": "On the physical meaning of the gauge conditions of Classical Electromagnetism : the hydrodynamics analogue viewpoint",
"url": "https://arxiv.org/abs/physics/0511047"
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