dorsal/arxiv
View SchemaOn energy and momentum of an ultrarelativistic unstable system
| Authors | Gianluca Geloni, Evgeni Saldin |
|---|---|
| Categories | |
| ArXiv ID | physics/0211093 |
| URL | https://arxiv.org/abs/physics/0211093 |
Abstract
We study an electron bunch together with its self-fields from the viewpoint of basic dynamical quantities. This leads to a methodological discussion about the definition of energy and momentum for fully electromagnetic systems and about the relation between covariance of the energy-momentum pair and stability. We show here that, in the case of unstable systems, there is no mean to define, in a physically meaningful way, a total energy-momentum four-vector: covariance of the energy-momentum pair follows from the stability of the system and viceversa, as originally pointed out by Henry Poincare'.
{
"annotation_id": "c2843c19-7cc7-451c-a699-2611cf80bc14",
"date_created": "2026-03-02T18:00:42.867000Z",
"date_modified": "2026-03-02T18:00:42.867000Z",
"file_hash": "0a1267a73a8b6a26d0bc9764616814add308a88b7148dd14761f9494cd61dd19",
"private": false,
"record": {
"abstract": "We study an electron bunch together with its self-fields from the viewpoint\nof basic dynamical quantities. This leads to a methodological discussion about\nthe definition of energy and momentum for fully electromagnetic systems and\nabout the relation between covariance of the energy-momentum pair and\nstability. We show here that, in the case of unstable systems, there is no mean\nto define, in a physically meaningful way, a total energy-momentum four-vector:\ncovariance of the energy-momentum pair follows from the stability of the system\nand viceversa, as originally pointed out by Henry Poincare\u0027.",
"arxiv_id": "physics/0211093",
"authors": [
"Gianluca Geloni",
"Evgeni Saldin"
],
"categories": [
"physics.acc-ph"
],
"title": "On energy and momentum of an ultrarelativistic unstable system",
"url": "https://arxiv.org/abs/physics/0211093"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "69c49500-f110-4ac2-8bb9-ab9688abc289",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}