dorsal/arxiv
View SchemaRadiation reaction in quantum mechanics
| Authors | Atsushi Higuchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812036 |
| URL | https://arxiv.org/abs/quant-ph/9812036 |
Abstract
The Lorentz-Dirac radiation reaction formula predicts that the position shift of a charged particle due to the radiation reaction is of first order in acceleration if it undergoes a small acceleration. A semi-classical calculation shows that this is impossible at least if the acceleration is due to a time-independent potential. Thus, the Lorentz-Dirac formula gives an incorrect classical limit in this situation. The correct classical limit of the position shift at the lowest order in acceleration is obtained by assuming that the energy loss at each time is given by the Larmor formula.
{
"annotation_id": "d5b8edd7-53ea-42db-ba5a-7ba280b0d60e",
"date_created": "2026-03-02T18:02:44.974000Z",
"date_modified": "2026-03-02T18:02:44.974000Z",
"file_hash": "bd03b91ab9a061bd3bdf84bda0f23d84a3dc293401f2976d83aed13612ad1eca",
"private": false,
"record": {
"abstract": "The Lorentz-Dirac radiation reaction formula predicts that the position shift\nof a charged particle due to the radiation reaction is of first order in\nacceleration if it undergoes a small acceleration. A semi-classical calculation\nshows that this is impossible at least if the acceleration is due to a\ntime-independent potential. Thus, the Lorentz-Dirac formula gives an incorrect\nclassical limit in this situation. The correct classical limit of the position\nshift at the lowest order in acceleration is obtained by assuming that the\nenergy loss at each time is given by the Larmor formula.",
"arxiv_id": "quant-ph/9812036",
"authors": [
"Atsushi Higuchi"
],
"categories": [
"quant-ph",
"hep-th"
],
"title": "Radiation reaction in quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9812036"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0717e5a3-ca2e-448f-990c-4cd0b45110ec",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}