Path Integral Quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group
arXiv:physics/9710010 · doi:10.1142/S0217751X99000452
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.
arXiv comment24 pages, LaTeX, no figures, full postscript available from http://phyweb.lbl.gov/theorygroup/papers/40890.ps