English

Exact Ground State Wave Functions for N Anyons in a Magnetic Field on a Torus

High Energy Physics - Theory 2015-06-26 v1

Abstract

The complete set of ground state wave functions for N anyons in an external magnetic field on the torus is found. The cases when the filling factor is less than or equal to one are considered. The single valued description of anyons is employed through out by coupling bosons to a Chern-Simons field. At the end, the Chern-Simons interaction is removed by a singular gauge transformation as a result of which the wave functions become multi-component in agreement with other studies.

Keywords

Cite

@article{arxiv.hep-th/9303120,
  title  = {Exact Ground State Wave Functions for N Anyons in a Magnetic Field on a Torus},
  author = {Ansar Fayyazuddin},
  journal= {arXiv preprint arXiv:hep-th/9303120},
  year   = {2015}
}

Comments

10 pages, Latex document, USITP-93-07