%0 Journal Article
%T Induced Gauge Structure of Quantum Mechanics on $S^D$
%A Minoru Hirayama
%A Hui-Min Zhang
%A Takeshi Hamada
%J Physics
%D 1996
%I arXiv
%R 10.1143/PTP.97.679
%X The Ohnuki-Kitakado (O-K) scheme of quantum mechanics on $S^D$ embedded in $R^{D+1}$ is investigated. Generators satisfying the O-K algebra are written down explicitly in term of the induced gauge potential. A direct method is developed to obtain the generators in covariant form. It is seen that there exists an induced gauge configuration which is trivial on $S^D$ but might cause a nontrivial physical effect in $R^{D+1}$. The relation of the O-K scheme to extended objects such as the 't Hooft-Polyakov monopole is discussed.
%U http://arxiv.org/abs/hep-th/9612175v3