dorsal/arxiv
View SchemaOn the $q$-deformed oscillator algebras:$su_q(1,1)$ and $su_q(2)$
| Authors | Phillial Oh, Chaiho Rim |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9609009 |
| URL | https://arxiv.org/abs/q-alg/9609009 |
| Journal | J.KoreanPhys.Soc.30:157-164,1997 |
Abstract
We study the relations between $q$-deformations and $q$-coherent states of the single oscillator representations for $su_q(1,1)$ and $su_q(2)$ algebras; Dyson and Holstein-Primakoff type in terms of Biedenharn, Macfarlane and anyonic oscilators. We also discuss the related Fock-Bargmann $q$-derivative and integration.
{
"annotation_id": "b6f33953-f4d2-4777-a2ff-a770f6d01965",
"date_created": "2026-03-02T18:01:27.937000Z",
"date_modified": "2026-03-02T18:01:27.937000Z",
"file_hash": "463c2317c9952a81490b357293f3673227419e5be0f39331617bda2ed928ddab",
"private": false,
"record": {
"abstract": "We study the relations between $q$-deformations and $q$-coherent states of\nthe single oscillator representations for $su_q(1,1)$ and $su_q(2)$ algebras;\nDyson and Holstein-Primakoff type in terms of Biedenharn, Macfarlane and\nanyonic oscilators. We also discuss the related Fock-Bargmann $q$-derivative\nand integration.",
"arxiv_id": "q-alg/9609009",
"authors": [
"Phillial Oh",
"Chaiho Rim"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"journal_ref": "J.KoreanPhys.Soc.30:157-164,1997",
"title": "On the $q$-deformed oscillator algebras:$su_q(1,1)$ and $su_q(2)$",
"url": "https://arxiv.org/abs/q-alg/9609009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "41ac688c-c29b-42bc-a2f4-21ad831e8c46",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}