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Berry Connections and Induced Gauge Fields in Quantum Mechanics on Sphere

H. Ikemori·S. Kitakado·H. Otsu·T. Sato
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Abstract

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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H. Ikemori, S. Kitakado, H. Otsu, T. Sato. 2000-04-25. Berry Connections and Induced Gauge Fields in Quantum Mechanics on Sphere. https://doi.org/10.1142/s0217732300001365

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