Berry Connections and Induced Gauge Fields in Quantum Mechanics on Sphere

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, LaTeX2e

Scientific paper

10.1142/S0217732300001365

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.

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