English

Quantization on the Cone and Cyon-Oscillator Duality

High Energy Physics - Theory 2007-05-23 v1

Abstract

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.

Cite

@article{arxiv.hep-th/9610072,
  title  = {Quantization on the Cone and Cyon-Oscillator Duality},
  author = {A. N. Sissakian and V. M. Ter-Antonyan},
  journal= {arXiv preprint arXiv:hep-th/9610072},
  year   = {2007}
}

Comments

4 pages, LaTeX file

R2 v1 2026-07-22T16:01:48.889Z