Berry Connections and Induced Gauge Fields in Quantum Mechanics on   Sphere
  Quantum mechanics on sphere $S^{n}$ is studied from the viewpoint that the Berry's connection has to appear as a topological term in the effective action. Furthermore we show that this term is the Chern-Simons term of gauge variables that correspond to the extra degrees of freedom of the enlarged space. 
H. Ikemori, S. Kitakado, H. Otsu, T. Sato