Quantization on the Cone and Cyon-Oscillator Duality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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4 pages, LaTeX file

Scientific paper

It is shown that the three-dimensional isotropic oscillator with coordinates
belonging to the two-dimensional half-up cone is dual to the cyon , i.e. the
planar particle-vortex bound system provided by fractional statistics.

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