Quantum Mechanics on S^n and Meron Solution

Details Quantum Mechanics on S^n and Meron Solution Quantum Mechanics on S^n and Meron Solution

1997-10-28

arxiv.org/abs/hep-th/9710209v1

Mod.Phys.Lett. A13 (1998) 15-22

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex

Scientific paper

10.1142/S0217732398000048

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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