Path Integral Quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group
Mathematical Physics
2014-11-18 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.physics/9710010,
title = {Path Integral Quantization of the Symplectic Leaves of the SU(2)* Poisson-Lie Group},
author = {Bogdan Morariu},
journal= {arXiv preprint arXiv:physics/9710010},
year = {2014}
}
Comments
24 pages, LaTeX, no figures, full postscript available from http://phyweb.lbl.gov/theorygroup/papers/40890.ps