Path Integral Quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group
Morariu, Bogdan
arXiv, 9710010 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-10-08
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Quantum Algebra 
@article{9710010,
     author = {Morariu, Bogdan},
     title = {Path Integral Quantization of the Symplectic Leaves of the SU(2)*
  Poisson-Lie Group},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9710010}
}

Morariu, Bogdan. Path Integral Quantization of the Symplectic Leaves of the SU(2)*
  Poisson-Lie Group. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9710010/