dorsal/arxiv
View SchemaOn a Generalized D-Dimensional Oscillator: Interbasis Expansions
| Authors | Ye. M. Hakobyan, G. S. Pogosyan, A. N. Sissakian |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9804072 |
| URL | https://arxiv.org/abs/quant-ph/9804072 |
| Journal | Phys. Atom. Nucl. 61 (1998) 1762-1767; Yad.Fiz. 61 (1998) 1873-1878 |
Abstract
This article deals with nonrelativistic study of a D-dimensional superintegrable system, which generalizes the ordinary isotropic oscillator system. The coefficients for the expansion between the hyperspherical and Cartesian bases (transition matrix), and vice-versa, are found in terms of the SU(2) Clebsch--Gordan coefficients analytically continued to real values of their arguments. The diagram method, which allow one to construct a transition matrix for arbitrary dimension, is developed.
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"abstract": "This article deals with nonrelativistic study of a D-dimensional\nsuperintegrable system, which generalizes the ordinary isotropic oscillator\nsystem. The coefficients for the expansion between the hyperspherical and\nCartesian bases (transition matrix), and vice-versa, are found in terms of the\nSU(2) Clebsch--Gordan coefficients analytically continued to real values of\ntheir arguments. The diagram method, which allow one to construct a transition\nmatrix for arbitrary dimension, is developed.",
"arxiv_id": "quant-ph/9804072",
"authors": [
"Ye. M. Hakobyan",
"G. S. Pogosyan",
"A. N. Sissakian"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"journal_ref": "Phys. Atom. Nucl. 61 (1998) 1762-1767; Yad.Fiz. 61 (1998)\n 1873-1878",
"title": "On a Generalized D-Dimensional Oscillator: Interbasis Expansions",
"url": "https://arxiv.org/abs/quant-ph/9804072"
},
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