Magnetic Bottles on Riemann Surfaces

Details Magnetic Bottles on Riemann Surfaces Magnetic Bottles on Riemann Surfaces

2011-01-12

arxiv.org/abs/1101.2418v2

Physics

Mathematical Physics

Scientific paper

Yves Colin de Verdiere's quantization formalism of magnetic bottles on Riemann surfaces of non null genus is shown to be affected, owing to the Homotopy Superselection Rule, by the phenomenon of the existence of multiple inequivalent quantizations mathematically analogous to the phenomenon of the existence of multiple inequivalent prequantizations of a multiply-connected symplectic manifold in the framework of Souriau-Kostant's Geometric Quantization.

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