Hopf Map and Quantization on Sphere

Details Hopf Map and Quantization on Sphere Hopf Map and Quantization on Sphere

1999-11-09

arxiv.org/abs/hep-th/9911053v1

Mod.Phys.Lett. A14 (1999) 2649-2656

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX2e, uses amsmath.sty

Scientific paper

10.1142/S0217732399002789

Quantization of a system constrained to move on a sphere is considered by
taking a square root of the ``on sphere condition''. We arrive at the fibre
bundle structure of the Hopf map in the cases of $S^{2} $and $S^{4}$. This
leads to more geometrical understanding of monopole and instanton gauge
structures that emerge in the course of quantization.

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