dorsal/arxiv
View SchemaOn a Generalized Oscillator: Invariance Algebra and Interbasis Expansions
| Authors | Y. M. Hakobyan, M. Kibler, G. S. Pogosyan, A. N. Sissakian |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9712014 |
| URL | https://arxiv.org/abs/quant-ph/9712014 |
| Journal | Phys.Atom.Nucl.61:1782-1788,1998; Yad.Fiz.61:1893-1899,1998 |
Abstract
This article deals with a quantum-mechanical system which generalizes the ordinary isotropic harmonic oscillator system. We give the coefficients connecting the polar and Cartesian bases for D=2 and the coefficients connecting the Cartesian and cylindrical bases as well as the cylindrical and spherical bases for D=3. These interbasis expansion coefficients are found to be analytic continuations to real values of their arguments of the Clebsch-Gordan coefficients for the group SU(2). For D=2, the superintegrable character for the generalized oscillator system is investigated from the points of view of a quadratic invariance algebra.
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"abstract": "This article deals with a quantum-mechanical system which generalizes the\nordinary isotropic harmonic oscillator system. We give the coefficients\nconnecting the polar and Cartesian bases for D=2 and the coefficients\nconnecting the Cartesian and cylindrical bases as well as the cylindrical and\nspherical bases for D=3. These interbasis expansion coefficients are found to\nbe analytic continuations to real values of their arguments of the\nClebsch-Gordan coefficients for the group SU(2). For D=2, the superintegrable\ncharacter for the generalized oscillator system is investigated from the points\nof view of a quadratic invariance algebra.",
"arxiv_id": "quant-ph/9712014",
"authors": [
"Y. M. Hakobyan",
"M. Kibler",
"G. S. Pogosyan",
"A. N. Sissakian"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"physics.atm-clus",
"physics.atom-ph",
"physics.chem-ph"
],
"journal_ref": "Phys.Atom.Nucl.61:1782-1788,1998; Yad.Fiz.61:1893-1899,1998",
"title": "On a Generalized Oscillator: Invariance Algebra and Interbasis Expansions",
"url": "https://arxiv.org/abs/quant-ph/9712014"
},
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