dorsal/arxiv
View SchemaOn Quantum Groups and Their Potential Use in Mathematical Chemistry
| Authors | Maurice Kibler, Tidjani Négadi |
|---|---|
| Categories | |
| ArXiv ID | physics/9911047 |
| URL | https://arxiv.org/abs/physics/9911047 |
| Journal | Published in J. Math. Chem. 11 (1992) 13-25 |
Abstract
The quantum algebra suq(2) is introduced as a deformation of the ordinary Lie algebra su(2). This is achieved in a simple way by making use of $q$-bosons. In connection with the quantum algebra suq(2), we discuss the q-analogues of the harmonic oscillator and the angular momentum. We also introduce q-analogues of the hydrogen atom by means of a q-deformation of the Pauli equations and of the so-called Kustaanheimo-Stiefel transformation.
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"abstract": "The quantum algebra suq(2) is introduced as a deformation of the ordinary Lie\nalgebra su(2). This is achieved in a simple way by making use of $q$-bosons. In\nconnection with the quantum algebra suq(2), we discuss the q-analogues of the\nharmonic oscillator and the angular momentum. We also introduce q-analogues of\nthe hydrogen atom by means of a q-deformation of the Pauli equations and of the\nso-called Kustaanheimo-Stiefel transformation.",
"arxiv_id": "physics/9911047",
"authors": [
"Maurice Kibler",
"Tidjani N\u00e9gadi"
],
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"physics.chem-ph",
"math-ph",
"math.MP",
"quant-ph"
],
"journal_ref": "Published in J. Math. Chem. 11 (1992) 13-25",
"title": "On Quantum Groups and Their Potential Use in Mathematical Chemistry",
"url": "https://arxiv.org/abs/physics/9911047"
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