dorsal/arxiv
View SchemaSurprising Symmetries in Relativistic Charge Dynamics
| Authors | William E. Baylis |
|---|---|
| Categories | |
| ArXiv ID | physics/0410197 |
| URL | https://arxiv.org/abs/physics/0410197 |
Abstract
The eigenspinor approach uses the classical amplitude of the algebraic Lorentz rotation connecting the lab and rest frames to study the relativistic motion of particles. It suggests a simple covariant extension of the common definition of the electric field: the electromagnetic field can be defined as the proper spacetime rotation rate it induces in the particle frame times its mass-to-charge ratio. When applied to the dynamics of a point charge in an external electromagnetic field, the eigenspinor approach reveals surprising symmetries, particularly the invariance of some field properties in the rest frame of the accelerating charge. The symmetries facilitate the discovery of analytic solutions of the charge motion and are simply explained in terms of the geometry of spacetime. Symmetries of the uniformly accelerated charge and electric dipole are also briefly discussed.
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"abstract": "The eigenspinor approach uses the classical amplitude of the algebraic\nLorentz rotation connecting the lab and rest frames to study the relativistic\nmotion of particles. It suggests a simple covariant extension of the common\ndefinition of the electric field: the electromagnetic field can be defined as\nthe proper spacetime rotation rate it induces in the particle frame times its\nmass-to-charge ratio. When applied to the dynamics of a point charge in an\nexternal electromagnetic field, the eigenspinor approach reveals surprising\nsymmetries, particularly the invariance of some field properties in the rest\nframe of the accelerating charge. The symmetries facilitate the discovery of\nanalytic solutions of the charge motion and are simply explained in terms of\nthe geometry of spacetime. Symmetries of the uniformly accelerated charge and\nelectric dipole are also briefly discussed.",
"arxiv_id": "physics/0410197",
"authors": [
"William E. Baylis"
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"title": "Surprising Symmetries in Relativistic Charge Dynamics",
"url": "https://arxiv.org/abs/physics/0410197"
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