dorsal/arxiv
View SchemaQuantum Ground State and Minimum Emittance of a Fermionic Particle Beam in a Circular Accelerator
| Authors | Andreas Kabel |
|---|---|
| Categories | |
| ArXiv ID | physics/0102064 |
| URL | https://arxiv.org/abs/physics/0102064 |
| DOI | 10.1142/9789812777447_0006 |
Abstract
In the usual parameter regime of accelerator physics, particle ensembles can be treated as classical. If we approach a regime where $\epsilon_x\epsilon_y\epsilon_s \approx N_{particles}\lambda_{Compton}^3\$, however, the granular structure of quantum-mechanical phase space becomes a concern. In particular, we have to consider the Pauli exclusion principle, which will limit the minimum achievable emittance for a beam of fermions. We calculate these lowest emittances for the cases of bunched and coasting beams at zero temperature and their first-order change rate at finite temperature.
{
"annotation_id": "de8673f8-d5ae-4c9e-848c-342465dd3ff1",
"date_created": "2026-03-02T18:00:36.224000Z",
"date_modified": "2026-03-02T18:00:36.224000Z",
"file_hash": "30a8803bdd84043d00ff6dc5a2bc450809ce73b5efb2b920001daa1460cab7d8",
"private": false,
"record": {
"abstract": "In the usual parameter regime of accelerator physics, particle ensembles can\nbe treated as classical. If we approach a regime where\n$\\epsilon_x\\epsilon_y\\epsilon_s \\approx N_{particles}\\lambda_{Compton}^3\\$,\nhowever, the granular structure of quantum-mechanical phase space becomes a\nconcern. In particular, we have to consider the Pauli exclusion principle,\nwhich will limit the minimum achievable emittance for a beam of fermions. We\ncalculate these lowest emittances for the cases of bunched and coasting beams\nat zero temperature and their first-order change rate at finite temperature.",
"arxiv_id": "physics/0102064",
"authors": [
"Andreas Kabel"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1142/9789812777447_0006",
"title": "Quantum Ground State and Minimum Emittance of a Fermionic Particle Beam in a Circular Accelerator",
"url": "https://arxiv.org/abs/physics/0102064"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "73c50b6c-f523-459b-85a2-8c8fb9c3fe41",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}