Hopf Map and Quantization on Sphere
High Energy Physics - Theory
2009-10-31 v1
Abstract
Quantization of a system constrained to move on a sphere is considered by taking a square root of the ``on sphere condition''. We arrive at the fibre bundle structure of the Hopf map in the cases of and . This leads to more geometrical understanding of monopole and instanton gauge structures that emerge in the course of quantization.
Keywords
Cite
@article{arxiv.hep-th/9911053,
title = {Hopf Map and Quantization on Sphere},
author = {H. Ikemori and S. Kitakado and H. Otsu and T. Sato},
journal= {arXiv preprint arXiv:hep-th/9911053},
year = {2009}
}
Comments
9 pages, LaTeX2e, uses amsmath.sty