dorsal/arxiv
View SchemaCasimir force between partially transmitting mirrors
| Authors | Marc-Thierry Jaekel, Serge Reynaud |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101067 |
| URL | https://arxiv.org/abs/quant-ph/0101067 |
| DOI | 10.1051/jp1:1991216 |
| Journal | Journal de Physique I 1 (1991) 1395 |
Abstract
The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing reflectivity and transmittivity coefficients obeying conditions of unitarity, causality and high frequency transparency. We show that the divergences associated with the infiniteness of the vacuum energy do not appear in this approach. We give explicit expressions for the Casimir force which hold for any frequency dependent scattering and any temperature. The corresponding expressions for the Casimir energy are interpreted in terms of phase shifts. The known results are recovered at the limit of a perfect reflection.
{
"annotation_id": "cbb52755-c511-4a50-8280-e3ecfcf43a75",
"date_created": "2026-03-02T18:01:42.699000Z",
"date_modified": "2026-03-02T18:01:42.699000Z",
"file_hash": "d275ce0a3c03427d62acf1927f0321f7ac8af644635e6fa7067881dcf27a426a",
"private": false,
"record": {
"abstract": "The Casimir force can be understood as resulting from the radiation pressure\nexerted by the vacuum fluctuations reflected by boundaries. We extend this\nlocal formulation to the case of partially transmitting boundaries by\nintroducing reflectivity and transmittivity coefficients obeying conditions of\nunitarity, causality and high frequency transparency. We show that the\ndivergences associated with the infiniteness of the vacuum energy do not appear\nin this approach. We give explicit expressions for the Casimir force which hold\nfor any frequency dependent scattering and any temperature. The corresponding\nexpressions for the Casimir energy are interpreted in terms of phase shifts.\nThe known results are recovered at the limit of a perfect reflection.",
"arxiv_id": "quant-ph/0101067",
"authors": [
"Marc-Thierry Jaekel",
"Serge Reynaud"
],
"categories": [
"quant-ph"
],
"doi": "10.1051/jp1:1991216",
"journal_ref": "Journal de Physique I 1 (1991) 1395",
"title": "Casimir force between partially transmitting mirrors",
"url": "https://arxiv.org/abs/quant-ph/0101067"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "fe9d9b6d-c46e-4c9e-8594-799b92757363",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}