Two anyons on the sphere: nonlinear states and spectrum
High Energy Physics - Theory
2020-04-22 v1 Strongly Correlated Electrons
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study the energy spectrum of two anyons on the sphere in a constant magnetic field. Making use of rotational invariance we reduce the energy eigenvalue equation to a system of linear differential equations for functions of a single variable, a reduction analogous to separating center of mass and relative coordinates on the plane. We solve these equations by a generalization of the Frobenius method and derive numerical results for the energies of non-analytically derivable states.
Cite
@article{arxiv.1910.00587,
title = {Two anyons on the sphere: nonlinear states and spectrum},
author = {Alexios P. Polychronakos and Stéphane Ouvry},
journal= {arXiv preprint arXiv:1910.00587},
year = {2020}
}
Comments
32 pages, 2 figures