Lawrence Berkeley National Laboratory
Path integral quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group
- Author(s): Morariu, B.
- et al.
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 Uq(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.