dorsal/arxiv
View SchemaSuperintegrability on the two dimensional hyperboloid II
| Authors | E. G. Kalnins, W. Miller Jr, Ye. M. Hakobyan, G. S. Pogosyan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907037 |
| URL | https://arxiv.org/abs/quant-ph/9907037 |
| DOI | 10.1063/1.532864 |
| Journal | J.Math.Phys. 40 (1999) 2291-2306 |
Abstract
This work is devoted to the investigation of the quantum mechanical systems on the two dimensional hyperboloid which admit separation of variables in at least two coordinate systems. Here we consider two potentials introduced in a paper of C.P.Boyer, E.G.Kalnins and P.Winternitz, which haven't yet been studied. We give an example of an interbasis expansion and work out the structure of the quadratic algebra generated by the integrals of motion.
{
"annotation_id": "b619287f-3a81-4b4f-b7e2-5e1c46c9db68",
"date_created": "2026-03-02T18:02:48.590000Z",
"date_modified": "2026-03-02T18:02:48.590000Z",
"file_hash": "0bf2c40e1ce8fdfcc66a1cd04f28153c44f791a889dcbf43672b5505235486d3",
"private": false,
"record": {
"abstract": "This work is devoted to the investigation of the quantum mechanical systems\non the two dimensional hyperboloid which admit separation of variables in at\nleast two coordinate systems. Here we consider two potentials introduced in a\npaper of C.P.Boyer, E.G.Kalnins and P.Winternitz, which haven\u0027t yet been\nstudied. We give an example of an interbasis expansion and work out the\nstructure of the quadratic algebra generated by the integrals of motion.",
"arxiv_id": "quant-ph/9907037",
"authors": [
"E. G. Kalnins",
"W. Miller Jr",
"Ye. M. Hakobyan",
"G. S. Pogosyan"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1063/1.532864",
"journal_ref": "J.Math.Phys. 40 (1999) 2291-2306",
"title": "Superintegrability on the two dimensional hyperboloid II",
"url": "https://arxiv.org/abs/quant-ph/9907037"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0e265c5d-2767-4abe-9d6d-cfd093ecaca0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}