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arXiv · hep-th/9710209

Quantum Mechanics on S^n and Meron Solution

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

A particle in quantum mechanics on manifolds couples to the induced topological gauge field that characterises the possible inequivalent quantizations. For instance, the gauge potential induced on $S^2$ is that of a magnetic monopole located at the center of $S^2$. We find that the gauge potential induced on $S^3$ ($S^{2n+1}$) is that of a meron (generalized meron) also sitting at the center of $S^3$ ($S^{2n+1}$).

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H. Ikemori, S. Kitakado, H. Nakatani, H. Otsu, T. Sato. 1997-10-28. Quantum Mechanics on S^n and Meron Solution. https://doi.org/10.1142/s0217732398000048

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