dorsal/arxiv
View SchemaPath Integral Quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group
| Authors | Bogdan Morariu |
|---|---|
| Categories | |
| ArXiv ID | physics/9710010 |
| URL | https://arxiv.org/abs/physics/9710010 |
| DOI | 10.1142/S0217751X99000452 |
| Journal | Int.J.Mod.Phys.A14:919-936,1999 |
Abstract
The Feynman path integral is used to quantize the symplectic leaves of the Poisson-Lie group SU(2)*. In this way we obtain the unitary representations of U_q(su(2)). This is achieved by finding explicit Darboux coordinates and then using a phase space path integral. I discuss the *-structure of SU(2)* and give a detailed description of its leaves using various parametrizations and also compare the results with the path integral quantization of spin.
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"abstract": "The Feynman path integral is used to quantize the symplectic leaves of the\nPoisson-Lie group SU(2)*. In this way we obtain the unitary representations of\nU_q(su(2)). This is achieved by finding explicit Darboux coordinates and then\nusing a phase space path integral. I discuss the *-structure of SU(2)* and give\na detailed description of its leaves using various parametrizations and also\ncompare the results with the path integral quantization of spin.",
"arxiv_id": "physics/9710010",
"authors": [
"Bogdan Morariu"
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"doi": "10.1142/S0217751X99000452",
"journal_ref": "Int.J.Mod.Phys.A14:919-936,1999",
"title": "Path Integral Quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group",
"url": "https://arxiv.org/abs/physics/9710010"
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