dorsal/arxiv
View SchemaOn Interbasis Expansion for Isotropic Oscillator on Two-Dimensional Sphere
| Authors | Ye. M. Hakobyan, G. S. Pogosyan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803085 |
| URL | https://arxiv.org/abs/quant-ph/9803085 |
| Journal | Proc., II International Workshop "Lie Theory and Its Applications in Physics", (Clausthal, August 1997); eds. H.-D. Doebner, V.K. Dobrev and J. Hilgert, (World Sci, Singapore, 1998, ISBN 981-02-3539-9) pp. 243-251 |
Abstract
In this article we analyze the isotropic oscillator system on the two-dimensional sphere in the spherical systems of coordinates. The expansion coefficients for transitions between three spherical bases of the oscillator are calculated. It is shown that these coefficients are expressed through the Clebsch-Gordan coefficients for SU(2) group analytically continued to real values of their argument.
{
"annotation_id": "96d9e465-eb68-439b-89bf-f294dd462bb1",
"date_created": "2026-03-02T18:02:41.735000Z",
"date_modified": "2026-03-02T18:02:41.735000Z",
"file_hash": "17c4db632fb628f2969b58b149ff9a2d1b8555e8e2d763576c97d516199160b3",
"private": false,
"record": {
"abstract": "In this article we analyze the isotropic oscillator system on the\ntwo-dimensional sphere in the spherical systems of coordinates. The expansion\ncoefficients for transitions between three spherical bases of the oscillator\nare calculated. It is shown that these coefficients are expressed through the\nClebsch-Gordan coefficients for SU(2) group analytically continued to real\nvalues of their argument.",
"arxiv_id": "quant-ph/9803085",
"authors": [
"Ye. M. Hakobyan",
"G. S. Pogosyan"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"journal_ref": "Proc., II International Workshop \"Lie Theory and Its Applications\n in Physics\", (Clausthal, August 1997); eds. H.-D. Doebner, V.K. Dobrev and J.\n Hilgert, (World Sci, Singapore, 1998, ISBN 981-02-3539-9) pp. 243-251",
"title": "On Interbasis Expansion for Isotropic Oscillator on Two-Dimensional Sphere",
"url": "https://arxiv.org/abs/quant-ph/9803085"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "df0498ee-0988-44e6-b2bb-a49fcd16e9ee",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}