Anyons, Monopole and Coulomb Problem
Abstract
The monopole systems with hidden symmetry of the two-dimensional Coulomb problem are considered. One of them, the "charge-charged magnetic vortex" with a half-spin, is constructed by reducing the quantum circular oscillator with respect to the action of the parity operator. The other two systems are constructed by reduction from the two-dimensional complex space. The first system is a particle on the sphere in the presence of the exterior constant magnetic field (generated by Dirac's monopole located in its center). This system is dual to the massless (3+1)-dimensional particle with fixed energy. The second system represents the particle on the pseudosphere in the presence of exterior magnetic field and is dual to the massive relativistic anyon.
Cite
@article{arxiv.physics/9712027,
title = {Anyons, Monopole and Coulomb Problem},
author = {A. Nersessian and V. M. Ter-Antonyan},
journal= {arXiv preprint arXiv:physics/9712027},
year = {2008}
}
Comments
10 pages, to be published in Russian J. Nucl. Phys